Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00071: Permutations —descent composition⟶ Integer compositions
Images
[.,.] => [1] => [1] => [1]
[.,[.,.]] => [2,1] => [2,1] => [1,1]
[[.,.],.] => [1,2] => [1,2] => [2]
[.,[.,[.,.]]] => [3,2,1] => [3,1,2] => [1,2]
[.,[[.,.],.]] => [2,3,1] => [3,2,1] => [1,1,1]
[[.,.],[.,.]] => [1,3,2] => [1,3,2] => [2,1]
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => [1,2]
[[[.,.],.],.] => [1,2,3] => [1,2,3] => [3]
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,1,2,3] => [1,3]
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,1,3,2] => [1,2,1]
[.,[[.,.],[.,.]]] => [2,4,3,1] => [4,2,1,3] => [1,1,2]
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,3,2,1] => [1,1,1,1]
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,2,3,1] => [1,2,1]
[[.,.],[.,[.,.]]] => [1,4,3,2] => [1,4,2,3] => [2,2]
[[.,.],[[.,.],.]] => [1,3,4,2] => [1,4,3,2] => [2,1,1]
[[.,[.,.]],[.,.]] => [2,1,4,3] => [2,1,4,3] => [1,2,1]
[[[.,.],.],[.,.]] => [1,2,4,3] => [1,2,4,3] => [3,1]
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,1,2,4] => [1,3]
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,2,1,4] => [1,1,2]
[[[.,.],[.,.]],.] => [1,3,2,4] => [1,3,2,4] => [2,2]
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => [1,3]
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => [4]
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,1,2,3,4] => [1,4]
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,1,2,4,3] => [1,3,1]
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [5,1,3,2,4] => [1,2,2]
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,1,4,3,2] => [1,2,1,1]
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,1,3,4,2] => [1,3,1]
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [5,2,1,3,4] => [1,1,3]
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [5,2,1,4,3] => [1,1,2,1]
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [5,3,2,1,4] => [1,1,1,2]
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [5,2,3,1,4] => [1,2,2]
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,4,2,3,1] => [1,1,2,1]
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,4,3,2,1] => [1,1,1,1,1]
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [5,2,4,3,1] => [1,2,1,1]
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,3,2,4,1] => [1,1,2,1]
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,2,3,4,1] => [1,3,1]
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [1,5,2,3,4] => [2,3]
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [1,5,2,4,3] => [2,2,1]
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [1,5,3,2,4] => [2,1,2]
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [1,5,4,3,2] => [2,1,1,1]
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [1,5,3,4,2] => [2,2,1]
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [2,1,5,3,4] => [1,2,2]
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [2,1,5,4,3] => [1,2,1,1]
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [1,2,5,3,4] => [3,2]
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [1,2,5,4,3] => [3,1,1]
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [3,1,2,5,4] => [1,3,1]
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [3,2,1,5,4] => [1,1,2,1]
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [1,3,2,5,4] => [2,2,1]
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [2,1,3,5,4] => [1,3,1]
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [1,2,3,5,4] => [4,1]
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,1,2,3,5] => [1,4]
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,1,3,2,5] => [1,2,2]
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [4,2,1,3,5] => [1,1,3]
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,3,2,1,5] => [1,1,1,2]
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,2,3,1,5] => [1,2,2]
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [1,4,2,3,5] => [2,3]
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [1,4,3,2,5] => [2,1,2]
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [2,1,4,3,5] => [1,2,2]
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [1,2,4,3,5] => [3,2]
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,1,2,4,5] => [1,4]
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,2,1,4,5] => [1,1,3]
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [1,3,2,4,5] => [2,3]
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => [1,4]
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => [5]
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,1,2,3,4,5] => [1,5]
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,1,2,3,5,4] => [1,4,1]
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [6,1,2,4,3,5] => [1,3,2]
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,1,2,5,4,3] => [1,3,1,1]
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,1,2,4,5,3] => [1,4,1]
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [6,1,3,2,4,5] => [1,2,3]
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [6,1,3,2,5,4] => [1,2,2,1]
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [6,1,4,3,2,5] => [1,2,1,2]
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [6,1,3,4,2,5] => [1,3,2]
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,1,5,3,4,2] => [1,2,2,1]
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [6,1,5,4,3,2] => [1,2,1,1,1]
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [6,1,3,5,4,2] => [1,3,1,1]
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,1,4,3,5,2] => [1,2,2,1]
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,1,3,4,5,2] => [1,4,1]
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [6,2,1,3,4,5] => [1,1,4]
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [6,2,1,3,5,4] => [1,1,3,1]
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [6,2,1,4,3,5] => [1,1,2,2]
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [6,2,1,5,4,3] => [1,1,2,1,1]
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [6,2,1,4,5,3] => [1,1,3,1]
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [6,3,2,1,4,5] => [1,1,1,3]
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [6,3,2,1,5,4] => [1,1,1,2,1]
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [6,2,3,1,4,5] => [1,2,3]
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [6,2,3,1,5,4] => [1,2,2,1]
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [6,4,2,3,1,5] => [1,1,2,2]
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [6,4,3,2,1,5] => [1,1,1,1,2]
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [6,2,4,3,1,5] => [1,2,1,2]
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [6,3,2,4,1,5] => [1,1,2,2]
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [6,2,3,4,1,5] => [1,3,2]
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,5,2,3,4,1] => [1,1,3,1]
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,5,2,4,3,1] => [1,1,2,1,1]
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [6,5,3,2,4,1] => [1,1,1,2,1]
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,5,4,3,2,1] => [1,1,1,1,1,1]
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,5,3,4,2,1] => [1,1,2,1,1]
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [6,2,5,3,4,1] => [1,2,2,1]
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [6,2,5,4,3,1] => [1,2,1,1,1]
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [6,3,2,5,4,1] => [1,1,2,1,1]
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [6,2,3,5,4,1] => [1,3,1,1]
>>> Load all 2177 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,4,2,3,5,1] => [1,1,3,1]
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,4,3,2,5,1] => [1,1,1,2,1]
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [6,2,4,3,5,1] => [1,2,2,1]
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,3,2,4,5,1] => [1,1,3,1]
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,2,3,4,5,1] => [1,4,1]
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [1,6,2,3,4,5] => [2,4]
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [1,6,2,3,5,4] => [2,3,1]
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [1,6,2,4,3,5] => [2,2,2]
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [1,6,2,5,4,3] => [2,2,1,1]
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [1,6,2,4,5,3] => [2,3,1]
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [1,6,3,2,4,5] => [2,1,3]
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [1,6,3,2,5,4] => [2,1,2,1]
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [1,6,4,3,2,5] => [2,1,1,2]
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [1,6,3,4,2,5] => [2,2,2]
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [1,6,5,3,4,2] => [2,1,2,1]
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [1,6,5,4,3,2] => [2,1,1,1,1]
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [1,6,3,5,4,2] => [2,2,1,1]
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [1,6,4,3,5,2] => [2,1,2,1]
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [1,6,3,4,5,2] => [2,3,1]
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [2,1,6,3,4,5] => [1,2,3]
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [2,1,6,3,5,4] => [1,2,2,1]
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [2,1,6,4,3,5] => [1,2,1,2]
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [2,1,6,5,4,3] => [1,2,1,1,1]
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [2,1,6,4,5,3] => [1,2,2,1]
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [1,2,6,3,4,5] => [3,3]
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [1,2,6,3,5,4] => [3,2,1]
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [1,2,6,4,3,5] => [3,1,2]
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [1,2,6,5,4,3] => [3,1,1,1]
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [1,2,6,4,5,3] => [3,2,1]
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [3,1,2,6,4,5] => [1,3,2]
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [3,1,2,6,5,4] => [1,3,1,1]
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [3,2,1,6,4,5] => [1,1,2,2]
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [3,2,1,6,5,4] => [1,1,2,1,1]
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [1,3,2,6,4,5] => [2,2,2]
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [1,3,2,6,5,4] => [2,2,1,1]
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [2,1,3,6,4,5] => [1,3,2]
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [2,1,3,6,5,4] => [1,3,1,1]
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [1,2,3,6,4,5] => [4,2]
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [1,2,3,6,5,4] => [4,1,1]
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [4,1,2,3,6,5] => [1,4,1]
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [4,1,3,2,6,5] => [1,2,2,1]
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [4,2,1,3,6,5] => [1,1,3,1]
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [4,3,2,1,6,5] => [1,1,1,2,1]
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [4,2,3,1,6,5] => [1,2,2,1]
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [1,4,2,3,6,5] => [2,3,1]
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [1,4,3,2,6,5] => [2,1,2,1]
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => [1,2,2,1]
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => [3,2,1]
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [3,1,2,4,6,5] => [1,4,1]
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [3,2,1,4,6,5] => [1,1,3,1]
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => [2,3,1]
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => [1,4,1]
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => [5,1]
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,1,2,3,4,6] => [1,5]
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,1,2,4,3,6] => [1,3,2]
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [5,1,3,2,4,6] => [1,2,3]
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,1,4,3,2,6] => [1,2,1,2]
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,1,3,4,2,6] => [1,3,2]
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [5,2,1,3,4,6] => [1,1,4]
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [5,2,1,4,3,6] => [1,1,2,2]
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [5,3,2,1,4,6] => [1,1,1,3]
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [5,2,3,1,4,6] => [1,2,3]
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,4,2,3,1,6] => [1,1,2,2]
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,4,3,2,1,6] => [1,1,1,1,2]
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [5,2,4,3,1,6] => [1,2,1,2]
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,3,2,4,1,6] => [1,1,2,2]
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,2,3,4,1,6] => [1,3,2]
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [1,5,2,3,4,6] => [2,4]
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [1,5,2,4,3,6] => [2,2,2]
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [1,5,3,2,4,6] => [2,1,3]
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [1,5,4,3,2,6] => [2,1,1,2]
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [1,5,3,4,2,6] => [2,2,2]
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [2,1,5,3,4,6] => [1,2,3]
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [2,1,5,4,3,6] => [1,2,1,2]
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [1,2,5,3,4,6] => [3,3]
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [1,2,5,4,3,6] => [3,1,2]
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [3,1,2,5,4,6] => [1,3,2]
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [3,2,1,5,4,6] => [1,1,2,2]
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => [2,2,2]
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => [1,3,2]
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => [4,2]
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,1,2,3,5,6] => [1,5]
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,1,3,2,5,6] => [1,2,3]
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [4,2,1,3,5,6] => [1,1,4]
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,3,2,1,5,6] => [1,1,1,3]
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,2,3,1,5,6] => [1,2,3]
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [1,4,2,3,5,6] => [2,4]
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [1,4,3,2,5,6] => [2,1,3]
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => [1,2,3]
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => [3,3]
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,1,2,4,5,6] => [1,5]
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,2,1,4,5,6] => [1,1,4]
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => [2,4]
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => [1,5]
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => [6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,1,2,3,4,5,6] => [1,6]
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [7,1,2,3,4,6,5] => [1,5,1]
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [7,1,2,3,5,4,6] => [1,4,2]
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,1,2,3,6,5,4] => [1,4,1,1]
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [7,1,2,3,5,6,4] => [1,5,1]
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [7,1,2,4,3,5,6] => [1,3,3]
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [7,1,2,4,3,6,5] => [1,3,2,1]
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [7,1,2,5,4,3,6] => [1,3,1,2]
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [7,1,2,4,5,3,6] => [1,4,2]
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,1,2,6,4,5,3] => [1,3,2,1]
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [7,1,2,6,5,4,3] => [1,3,1,1,1]
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [7,1,2,4,6,5,3] => [1,4,1,1]
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [7,1,2,5,4,6,3] => [1,3,2,1]
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [7,1,2,4,5,6,3] => [1,5,1]
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [7,1,3,2,4,5,6] => [1,2,4]
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [7,1,3,2,4,6,5] => [1,2,3,1]
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [7,1,3,2,5,4,6] => [1,2,2,2]
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [7,1,3,2,6,5,4] => [1,2,2,1,1]
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [7,1,3,2,5,6,4] => [1,2,3,1]
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [7,1,4,3,2,5,6] => [1,2,1,3]
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [7,1,4,3,2,6,5] => [1,2,1,2,1]
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [7,1,3,4,2,5,6] => [1,3,3]
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [7,1,3,4,2,6,5] => [1,3,2,1]
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [7,1,5,3,4,2,6] => [1,2,2,2]
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [7,1,5,4,3,2,6] => [1,2,1,1,2]
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [7,1,3,5,4,2,6] => [1,3,1,2]
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [7,1,4,3,5,2,6] => [1,2,2,2]
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [7,1,3,4,5,2,6] => [1,4,2]
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,1,6,3,4,5,2] => [1,2,3,1]
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [7,1,6,3,5,4,2] => [1,2,2,1,1]
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [7,1,6,4,3,5,2] => [1,2,1,2,1]
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [7,1,6,5,4,3,2] => [1,2,1,1,1,1]
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [7,1,6,4,5,3,2] => [1,2,2,1,1]
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [7,1,3,6,4,5,2] => [1,3,2,1]
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [7,1,3,6,5,4,2] => [1,3,1,1,1]
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [7,1,4,3,6,5,2] => [1,2,2,1,1]
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [7,1,3,4,6,5,2] => [1,4,1,1]
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [7,1,5,3,4,6,2] => [1,2,3,1]
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [7,1,5,4,3,6,2] => [1,2,1,2,1]
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [7,1,3,5,4,6,2] => [1,3,2,1]
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [7,1,4,3,5,6,2] => [1,2,3,1]
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [7,1,3,4,5,6,2] => [1,5,1]
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [7,2,1,3,4,5,6] => [1,1,5]
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [7,2,1,3,4,6,5] => [1,1,4,1]
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [7,2,1,3,5,4,6] => [1,1,3,2]
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [7,2,1,3,6,5,4] => [1,1,3,1,1]
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [7,2,1,3,5,6,4] => [1,1,4,1]
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [7,2,1,4,3,5,6] => [1,1,2,3]
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [7,2,1,4,3,6,5] => [1,1,2,2,1]
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [7,2,1,5,4,3,6] => [1,1,2,1,2]
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [7,2,1,4,5,3,6] => [1,1,3,2]
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [7,2,1,6,4,5,3] => [1,1,2,2,1]
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [7,2,1,6,5,4,3] => [1,1,2,1,1,1]
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [7,2,1,4,6,5,3] => [1,1,3,1,1]
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [7,2,1,5,4,6,3] => [1,1,2,2,1]
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [7,2,1,4,5,6,3] => [1,1,4,1]
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [7,3,2,1,4,5,6] => [1,1,1,4]
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [7,3,2,1,4,6,5] => [1,1,1,3,1]
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [7,3,2,1,5,4,6] => [1,1,1,2,2]
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [7,3,2,1,6,5,4] => [1,1,1,2,1,1]
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [7,3,2,1,5,6,4] => [1,1,1,3,1]
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [7,2,3,1,4,5,6] => [1,2,4]
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [7,2,3,1,4,6,5] => [1,2,3,1]
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [7,2,3,1,5,4,6] => [1,2,2,2]
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [7,2,3,1,6,5,4] => [1,2,2,1,1]
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [7,2,3,1,5,6,4] => [1,2,3,1]
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [7,4,2,3,1,5,6] => [1,1,2,3]
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [7,4,2,3,1,6,5] => [1,1,2,2,1]
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [7,4,3,2,1,5,6] => [1,1,1,1,3]
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [7,4,3,2,1,6,5] => [1,1,1,1,2,1]
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [7,2,4,3,1,5,6] => [1,2,1,3]
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [7,2,4,3,1,6,5] => [1,2,1,2,1]
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [7,3,2,4,1,5,6] => [1,1,2,3]
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [7,3,2,4,1,6,5] => [1,1,2,2,1]
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [7,2,3,4,1,5,6] => [1,3,3]
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [7,2,3,4,1,6,5] => [1,3,2,1]
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [7,5,2,3,4,1,6] => [1,1,3,2]
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [7,5,2,4,3,1,6] => [1,1,2,1,2]
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [7,5,3,2,4,1,6] => [1,1,1,2,2]
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [7,5,4,3,2,1,6] => [1,1,1,1,1,2]
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [7,5,3,4,2,1,6] => [1,1,2,1,2]
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [7,2,5,3,4,1,6] => [1,2,2,2]
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [7,2,5,4,3,1,6] => [1,2,1,1,2]
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [7,3,2,5,4,1,6] => [1,1,2,1,2]
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [7,2,3,5,4,1,6] => [1,3,1,2]
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [7,4,2,3,5,1,6] => [1,1,3,2]
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [7,4,3,2,5,1,6] => [1,1,1,2,2]
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [7,2,4,3,5,1,6] => [1,2,2,2]
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [7,3,2,4,5,1,6] => [1,1,3,2]
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [7,2,3,4,5,1,6] => [1,4,2]
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,6,2,3,4,5,1] => [1,1,4,1]
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,6,2,3,5,4,1] => [1,1,3,1,1]
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [7,6,2,4,3,5,1] => [1,1,2,2,1]
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,6,2,5,4,3,1] => [1,1,2,1,1,1]
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,6,2,4,5,3,1] => [1,1,3,1,1]
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [7,6,3,2,4,5,1] => [1,1,1,3,1]
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [7,6,3,2,5,4,1] => [1,1,1,2,1,1]
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [7,6,4,3,2,5,1] => [1,1,1,1,2,1]
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [7,6,3,4,2,5,1] => [1,1,2,2,1]
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,6,5,3,4,2,1] => [1,1,1,2,1,1]
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,6,5,4,3,2,1] => [1,1,1,1,1,1,1]
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [7,6,3,5,4,2,1] => [1,1,2,1,1,1]
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,6,4,3,5,2,1] => [1,1,1,2,1,1]
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,6,3,4,5,2,1] => [1,1,3,1,1]
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [7,2,6,3,4,5,1] => [1,2,3,1]
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [7,2,6,3,5,4,1] => [1,2,2,1,1]
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [7,2,6,4,3,5,1] => [1,2,1,2,1]
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [7,2,6,5,4,3,1] => [1,2,1,1,1,1]
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [7,2,6,4,5,3,1] => [1,2,2,1,1]
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [7,3,2,6,4,5,1] => [1,1,2,2,1]
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [7,3,2,6,5,4,1] => [1,1,2,1,1,1]
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [7,2,3,6,4,5,1] => [1,3,2,1]
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [7,2,3,6,5,4,1] => [1,3,1,1,1]
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [7,4,2,3,6,5,1] => [1,1,3,1,1]
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [7,4,3,2,6,5,1] => [1,1,1,2,1,1]
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [7,2,4,3,6,5,1] => [1,2,2,1,1]
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [7,3,2,4,6,5,1] => [1,1,3,1,1]
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [7,2,3,4,6,5,1] => [1,4,1,1]
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,5,2,3,4,6,1] => [1,1,4,1]
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,5,2,4,3,6,1] => [1,1,2,2,1]
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [7,5,3,2,4,6,1] => [1,1,1,3,1]
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,5,4,3,2,6,1] => [1,1,1,1,2,1]
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,5,3,4,2,6,1] => [1,1,2,2,1]
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [7,2,5,3,4,6,1] => [1,2,3,1]
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [7,2,5,4,3,6,1] => [1,2,1,2,1]
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [7,3,2,5,4,6,1] => [1,1,2,2,1]
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [7,2,3,5,4,6,1] => [1,3,2,1]
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,4,2,3,5,6,1] => [1,1,4,1]
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,4,3,2,5,6,1] => [1,1,1,3,1]
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [7,2,4,3,5,6,1] => [1,2,3,1]
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,3,2,4,5,6,1] => [1,1,4,1]
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => [1,5,1]
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [1,7,2,3,4,5,6] => [2,5]
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [1,7,2,3,4,6,5] => [2,4,1]
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [1,7,2,3,5,4,6] => [2,3,2]
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [1,7,2,3,6,5,4] => [2,3,1,1]
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [1,7,2,3,5,6,4] => [2,4,1]
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [1,7,2,4,3,5,6] => [2,2,3]
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [1,7,2,4,3,6,5] => [2,2,2,1]
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [1,7,2,5,4,3,6] => [2,2,1,2]
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [1,7,2,4,5,3,6] => [2,3,2]
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [1,7,2,6,4,5,3] => [2,2,2,1]
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [1,7,2,6,5,4,3] => [2,2,1,1,1]
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [1,7,2,4,6,5,3] => [2,3,1,1]
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [1,7,2,5,4,6,3] => [2,2,2,1]
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [1,7,2,4,5,6,3] => [2,4,1]
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [1,7,3,2,4,5,6] => [2,1,4]
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [1,7,3,2,4,6,5] => [2,1,3,1]
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [1,7,3,2,5,4,6] => [2,1,2,2]
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [1,7,3,2,6,5,4] => [2,1,2,1,1]
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [1,7,3,2,5,6,4] => [2,1,3,1]
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [1,7,4,3,2,5,6] => [2,1,1,3]
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [1,7,4,3,2,6,5] => [2,1,1,2,1]
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [1,7,3,4,2,5,6] => [2,2,3]
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [1,7,3,4,2,6,5] => [2,2,2,1]
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [1,7,5,3,4,2,6] => [2,1,2,2]
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [1,7,5,4,3,2,6] => [2,1,1,1,2]
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [1,7,3,5,4,2,6] => [2,2,1,2]
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [1,7,4,3,5,2,6] => [2,1,2,2]
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [1,7,3,4,5,2,6] => [2,3,2]
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [1,7,6,3,4,5,2] => [2,1,3,1]
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [1,7,6,3,5,4,2] => [2,1,2,1,1]
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [1,7,6,4,3,5,2] => [2,1,1,2,1]
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [1,7,6,5,4,3,2] => [2,1,1,1,1,1]
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [1,7,6,4,5,3,2] => [2,1,2,1,1]
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [1,7,3,6,4,5,2] => [2,2,2,1]
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [1,7,3,6,5,4,2] => [2,2,1,1,1]
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [1,7,4,3,6,5,2] => [2,1,2,1,1]
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [1,7,3,4,6,5,2] => [2,3,1,1]
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [1,7,5,3,4,6,2] => [2,1,3,1]
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [1,7,5,4,3,6,2] => [2,1,1,2,1]
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [1,7,3,5,4,6,2] => [2,2,2,1]
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [1,7,4,3,5,6,2] => [2,1,3,1]
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [1,7,3,4,5,6,2] => [2,4,1]
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [2,1,7,3,4,5,6] => [1,2,4]
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [2,1,7,3,4,6,5] => [1,2,3,1]
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [2,1,7,3,5,4,6] => [1,2,2,2]
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [2,1,7,3,6,5,4] => [1,2,2,1,1]
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [2,1,7,3,5,6,4] => [1,2,3,1]
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [2,1,7,4,3,5,6] => [1,2,1,3]
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [2,1,7,4,3,6,5] => [1,2,1,2,1]
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [2,1,7,5,4,3,6] => [1,2,1,1,2]
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [2,1,7,4,5,3,6] => [1,2,2,2]
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [2,1,7,6,4,5,3] => [1,2,1,2,1]
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [2,1,7,6,5,4,3] => [1,2,1,1,1,1]
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [2,1,7,4,6,5,3] => [1,2,2,1,1]
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [2,1,7,5,4,6,3] => [1,2,1,2,1]
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [2,1,7,4,5,6,3] => [1,2,3,1]
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [1,2,7,3,4,5,6] => [3,4]
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [1,2,7,3,4,6,5] => [3,3,1]
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [1,2,7,3,5,4,6] => [3,2,2]
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [1,2,7,3,6,5,4] => [3,2,1,1]
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [1,2,7,3,5,6,4] => [3,3,1]
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [1,2,7,4,3,5,6] => [3,1,3]
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [1,2,7,4,3,6,5] => [3,1,2,1]
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [1,2,7,5,4,3,6] => [3,1,1,2]
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [1,2,7,4,5,3,6] => [3,2,2]
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [1,2,7,6,4,5,3] => [3,1,2,1]
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [1,2,7,6,5,4,3] => [3,1,1,1,1]
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [1,2,7,4,6,5,3] => [3,2,1,1]
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [1,2,7,5,4,6,3] => [3,1,2,1]
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => [3,3,1]
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [3,1,2,7,4,5,6] => [1,3,3]
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [3,1,2,7,4,6,5] => [1,3,2,1]
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [3,1,2,7,5,4,6] => [1,3,1,2]
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [3,1,2,7,6,5,4] => [1,3,1,1,1]
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [3,1,2,7,5,6,4] => [1,3,2,1]
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [3,2,1,7,4,5,6] => [1,1,2,3]
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [3,2,1,7,4,6,5] => [1,1,2,2,1]
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [3,2,1,7,5,4,6] => [1,1,2,1,2]
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [3,2,1,7,6,5,4] => [1,1,2,1,1,1]
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [3,2,1,7,5,6,4] => [1,1,2,2,1]
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [1,3,2,7,4,5,6] => [2,2,3]
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [1,3,2,7,4,6,5] => [2,2,2,1]
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [1,3,2,7,5,4,6] => [2,2,1,2]
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [1,3,2,7,6,5,4] => [2,2,1,1,1]
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => [2,2,2,1]
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [2,1,3,7,4,5,6] => [1,3,3]
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [2,1,3,7,4,6,5] => [1,3,2,1]
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [2,1,3,7,5,4,6] => [1,3,1,2]
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [2,1,3,7,6,5,4] => [1,3,1,1,1]
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [2,1,3,7,5,6,4] => [1,3,2,1]
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [1,2,3,7,4,5,6] => [4,3]
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [1,2,3,7,4,6,5] => [4,2,1]
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [1,2,3,7,5,4,6] => [4,1,2]
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [1,2,3,7,6,5,4] => [4,1,1,1]
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => [4,2,1]
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [4,1,2,3,7,5,6] => [1,4,2]
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [4,1,2,3,7,6,5] => [1,4,1,1]
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [4,1,3,2,7,5,6] => [1,2,2,2]
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [4,1,3,2,7,6,5] => [1,2,2,1,1]
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [4,2,1,3,7,5,6] => [1,1,3,2]
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [4,2,1,3,7,6,5] => [1,1,3,1,1]
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [4,3,2,1,7,5,6] => [1,1,1,2,2]
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [4,3,2,1,7,6,5] => [1,1,1,2,1,1]
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [4,2,3,1,7,5,6] => [1,2,2,2]
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [4,2,3,1,7,6,5] => [1,2,2,1,1]
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [1,4,2,3,7,5,6] => [2,3,2]
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [1,4,2,3,7,6,5] => [2,3,1,1]
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [1,4,3,2,7,5,6] => [2,1,2,2]
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => [2,1,2,1,1]
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [2,1,4,3,7,5,6] => [1,2,2,2]
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => [1,2,2,1,1]
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [1,2,4,3,7,5,6] => [3,2,2]
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => [3,2,1,1]
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [3,1,2,4,7,5,6] => [1,4,2]
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [3,1,2,4,7,6,5] => [1,4,1,1]
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [3,2,1,4,7,5,6] => [1,1,3,2]
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => [1,1,3,1,1]
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [1,3,2,4,7,5,6] => [2,3,2]
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => [2,3,1,1]
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [2,1,3,4,7,5,6] => [1,4,2]
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => [1,4,1,1]
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [1,2,3,4,7,5,6] => [5,2]
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => [5,1,1]
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [5,1,2,3,4,7,6] => [1,5,1]
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [5,1,2,4,3,7,6] => [1,3,2,1]
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [5,1,3,2,4,7,6] => [1,2,3,1]
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [5,1,4,3,2,7,6] => [1,2,1,2,1]
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [5,1,3,4,2,7,6] => [1,3,2,1]
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [5,2,1,3,4,7,6] => [1,1,4,1]
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [5,2,1,4,3,7,6] => [1,1,2,2,1]
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [5,3,2,1,4,7,6] => [1,1,1,3,1]
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [5,2,3,1,4,7,6] => [1,2,3,1]
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [5,4,2,3,1,7,6] => [1,1,2,2,1]
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [5,4,3,2,1,7,6] => [1,1,1,1,2,1]
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [5,2,4,3,1,7,6] => [1,2,1,2,1]
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [5,3,2,4,1,7,6] => [1,1,2,2,1]
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [5,2,3,4,1,7,6] => [1,3,2,1]
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [1,5,2,3,4,7,6] => [2,4,1]
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [1,5,2,4,3,7,6] => [2,2,2,1]
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [1,5,3,2,4,7,6] => [2,1,3,1]
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [1,5,4,3,2,7,6] => [2,1,1,2,1]
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => [2,2,2,1]
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [2,1,5,3,4,7,6] => [1,2,3,1]
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => [1,2,1,2,1]
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [1,2,5,3,4,7,6] => [3,3,1]
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => [3,1,2,1]
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [3,1,2,5,4,7,6] => [1,3,2,1]
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => [1,1,2,2,1]
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [2,2,2,1]
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [1,3,2,1]
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [4,2,1]
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [4,1,2,3,5,7,6] => [1,5,1]
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [4,1,3,2,5,7,6] => [1,2,3,1]
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [4,2,1,3,5,7,6] => [1,1,4,1]
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [4,3,2,1,5,7,6] => [1,1,1,3,1]
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [4,2,3,1,5,7,6] => [1,2,3,1]
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [1,4,2,3,5,7,6] => [2,4,1]
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => [2,1,3,1]
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [1,2,3,1]
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [3,3,1]
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [3,1,2,4,5,7,6] => [1,5,1]
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => [1,1,4,1]
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [2,4,1]
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [1,5,1]
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [6,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,1,2,3,4,5,7] => [1,6]
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [6,1,2,3,5,4,7] => [1,4,2]
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [6,1,2,4,3,5,7] => [1,3,3]
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,1,2,5,4,3,7] => [1,3,1,2]
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [6,1,2,4,5,3,7] => [1,4,2]
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [6,1,3,2,4,5,7] => [1,2,4]
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [6,1,3,2,5,4,7] => [1,2,2,2]
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [6,1,4,3,2,5,7] => [1,2,1,3]
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [6,1,3,4,2,5,7] => [1,3,3]
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [6,1,5,3,4,2,7] => [1,2,2,2]
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [6,1,5,4,3,2,7] => [1,2,1,1,2]
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [6,1,3,5,4,2,7] => [1,3,1,2]
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [6,1,4,3,5,2,7] => [1,2,2,2]
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,1,3,4,5,2,7] => [1,4,2]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [6,2,1,3,4,5,7] => [1,1,5]
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [6,2,1,3,5,4,7] => [1,1,3,2]
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [6,2,1,4,3,5,7] => [1,1,2,3]
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [6,2,1,5,4,3,7] => [1,1,2,1,2]
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [6,2,1,4,5,3,7] => [1,1,3,2]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [6,3,2,1,4,5,7] => [1,1,1,4]
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [6,3,2,1,5,4,7] => [1,1,1,2,2]
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [6,2,3,1,4,5,7] => [1,2,4]
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [6,2,3,1,5,4,7] => [1,2,2,2]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [6,4,2,3,1,5,7] => [1,1,2,3]
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [6,4,3,2,1,5,7] => [1,1,1,1,3]
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [6,2,4,3,1,5,7] => [1,2,1,3]
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [6,3,2,4,1,5,7] => [1,1,2,3]
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [6,2,3,4,1,5,7] => [1,3,3]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,5,2,3,4,1,7] => [1,1,3,2]
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,5,2,4,3,1,7] => [1,1,2,1,2]
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [6,5,3,2,4,1,7] => [1,1,1,2,2]
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,5,4,3,2,1,7] => [1,1,1,1,1,2]
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,5,3,4,2,1,7] => [1,1,2,1,2]
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [6,2,5,3,4,1,7] => [1,2,2,2]
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [6,2,5,4,3,1,7] => [1,2,1,1,2]
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [6,3,2,5,4,1,7] => [1,1,2,1,2]
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [6,2,3,5,4,1,7] => [1,3,1,2]
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,4,2,3,5,1,7] => [1,1,3,2]
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,4,3,2,5,1,7] => [1,1,1,2,2]
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [6,2,4,3,5,1,7] => [1,2,2,2]
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,3,2,4,5,1,7] => [1,1,3,2]
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => [1,4,2]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [1,6,2,3,4,5,7] => [2,5]
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [1,6,2,3,5,4,7] => [2,3,2]
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [1,6,2,4,3,5,7] => [2,2,3]
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [1,6,2,5,4,3,7] => [2,2,1,2]
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [1,6,2,4,5,3,7] => [2,3,2]
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [1,6,3,2,4,5,7] => [2,1,4]
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [1,6,3,2,5,4,7] => [2,1,2,2]
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [1,6,4,3,2,5,7] => [2,1,1,3]
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [1,6,3,4,2,5,7] => [2,2,3]
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [1,6,5,3,4,2,7] => [2,1,2,2]
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [1,6,5,4,3,2,7] => [2,1,1,1,2]
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [1,6,3,5,4,2,7] => [2,2,1,2]
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [1,6,4,3,5,2,7] => [2,1,2,2]
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => [2,3,2]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [2,1,6,3,4,5,7] => [1,2,4]
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [2,1,6,3,5,4,7] => [1,2,2,2]
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [2,1,6,4,3,5,7] => [1,2,1,3]
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [2,1,6,5,4,3,7] => [1,2,1,1,2]
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [2,1,6,4,5,3,7] => [1,2,2,2]
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [1,2,6,3,4,5,7] => [3,4]
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [1,2,6,3,5,4,7] => [3,2,2]
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [1,2,6,4,3,5,7] => [3,1,3]
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [1,2,6,5,4,3,7] => [3,1,1,2]
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => [3,2,2]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [3,1,2,6,4,5,7] => [1,3,3]
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [3,1,2,6,5,4,7] => [1,3,1,2]
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [3,2,1,6,4,5,7] => [1,1,2,3]
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => [1,1,2,1,2]
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [1,3,2,6,4,5,7] => [2,2,3]
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => [2,2,1,2]
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [2,1,3,6,4,5,7] => [1,3,3]
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => [1,3,1,2]
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [1,2,3,6,4,5,7] => [4,3]
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => [4,1,2]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [4,1,2,3,6,5,7] => [1,4,2]
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [4,1,3,2,6,5,7] => [1,2,2,2]
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [4,2,1,3,6,5,7] => [1,1,3,2]
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [4,3,2,1,6,5,7] => [1,1,1,2,2]
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [4,2,3,1,6,5,7] => [1,2,2,2]
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [1,4,2,3,6,5,7] => [2,3,2]
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => [2,1,2,2]
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [1,2,2,2]
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [3,2,2]
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [3,1,2,4,6,5,7] => [1,4,2]
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => [1,1,3,2]
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [2,3,2]
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [1,4,2]
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [5,2]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,1,2,3,4,6,7] => [1,6]
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [5,1,2,4,3,6,7] => [1,3,3]
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [5,1,3,2,4,6,7] => [1,2,4]
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,1,4,3,2,6,7] => [1,2,1,3]
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,1,3,4,2,6,7] => [1,3,3]
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [5,2,1,3,4,6,7] => [1,1,5]
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [5,2,1,4,3,6,7] => [1,1,2,3]
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [5,3,2,1,4,6,7] => [1,1,1,4]
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [5,2,3,1,4,6,7] => [1,2,4]
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,4,2,3,1,6,7] => [1,1,2,3]
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,4,3,2,1,6,7] => [1,1,1,1,3]
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [5,2,4,3,1,6,7] => [1,2,1,3]
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,3,2,4,1,6,7] => [1,1,2,3]
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => [1,3,3]
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [1,5,2,3,4,6,7] => [2,5]
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [1,5,2,4,3,6,7] => [2,2,3]
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [1,5,3,2,4,6,7] => [2,1,4]
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [1,5,4,3,2,6,7] => [2,1,1,3]
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => [2,2,3]
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [2,1,5,3,4,6,7] => [1,2,4]
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => [1,2,1,3]
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [1,2,5,3,4,6,7] => [3,4]
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => [3,1,3]
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [3,1,2,5,4,6,7] => [1,3,3]
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => [1,1,2,3]
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [2,2,3]
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [1,3,3]
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [4,3]
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,1,2,3,5,6,7] => [1,6]
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,1,3,2,5,6,7] => [1,2,4]
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [4,2,1,3,5,6,7] => [1,1,5]
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,3,2,1,5,6,7] => [1,1,1,4]
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => [1,2,4]
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [1,4,2,3,5,6,7] => [2,5]
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => [2,1,4]
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [1,2,4]
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [3,4]
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,1,2,4,5,6,7] => [1,6]
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [1,1,5]
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [2,5]
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [1,6]
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,1,2,3,4,5,6,7] => [1,7]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,1,2,3,4,5,7,6] => [1,6,1]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [8,1,2,3,4,6,5,7] => [1,5,2]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [8,1,2,3,4,7,6,5] => [1,5,1,1]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [8,1,2,3,4,6,7,5] => [1,6,1]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [8,1,2,3,5,4,6,7] => [1,4,3]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [8,1,2,3,5,4,7,6] => [1,4,2,1]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [8,1,2,3,6,5,4,7] => [1,4,1,2]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [8,1,2,3,5,6,4,7] => [1,5,2]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [8,1,2,3,7,5,6,4] => [1,4,2,1]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [8,1,2,3,7,6,5,4] => [1,4,1,1,1]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [8,1,2,3,5,7,6,4] => [1,5,1,1]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [8,1,2,3,6,5,7,4] => [1,4,2,1]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [8,1,2,3,5,6,7,4] => [1,6,1]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [8,1,2,4,3,5,6,7] => [1,3,4]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [8,1,2,4,3,5,7,6] => [1,3,3,1]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [8,1,2,4,3,6,5,7] => [1,3,2,2]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [8,1,2,4,3,7,6,5] => [1,3,2,1,1]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => [8,1,2,4,3,6,7,5] => [1,3,3,1]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] => [5,4,8,7,6,3,2,1] => [8,1,2,5,4,3,6,7] => [1,3,1,3]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => [8,1,2,5,4,3,7,6] => [1,3,1,2,1]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [8,1,2,4,5,3,6,7] => [1,4,3]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] => [4,5,7,8,6,3,2,1] => [8,1,2,4,5,3,7,6] => [1,4,2,1]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [8,1,2,6,4,5,3,7] => [1,3,2,2]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] => [5,6,4,8,7,3,2,1] => [8,1,2,6,5,4,3,7] => [1,3,1,1,2]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [8,1,2,4,6,5,3,7] => [1,4,1,2]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] => [5,4,6,8,7,3,2,1] => [8,1,2,5,4,6,3,7] => [1,3,2,2]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [8,1,2,4,5,6,3,7] => [1,5,2]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [8,1,2,7,4,5,6,3] => [1,3,3,1]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [8,1,2,7,4,6,5,3] => [1,3,2,1,1]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [8,1,2,7,5,4,6,3] => [1,3,1,2,1]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [8,1,2,7,6,5,4,3] => [1,3,1,1,1,1]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [8,1,2,4,7,5,6,3] => [1,4,2,1]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [8,1,2,4,7,6,5,3] => [1,4,1,1,1]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [8,1,2,5,4,7,6,3] => [1,3,2,1,1]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [8,1,2,6,4,5,7,3] => [1,3,3,1]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [8,1,2,6,5,4,7,3] => [1,3,1,2,1]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [8,1,2,4,6,5,7,3] => [1,4,2,1]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [8,1,2,4,5,6,7,3] => [1,6,1]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [8,1,3,2,4,5,6,7] => [1,2,5]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [8,1,3,2,4,5,7,6] => [1,2,4,1]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [8,1,3,2,4,6,5,7] => [1,2,3,2]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [8,1,3,2,4,7,6,5] => [1,2,3,1,1]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] => [3,6,7,8,5,4,2,1] => [8,1,3,2,4,6,7,5] => [1,2,4,1]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [8,1,3,2,5,4,6,7] => [1,2,2,3]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [8,1,3,2,5,4,7,6] => [1,2,2,2,1]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] => [3,6,5,8,7,4,2,1] => [8,1,3,2,6,5,4,7] => [1,2,2,1,2]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => [8,1,3,2,5,6,4,7] => [1,2,3,2]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [8,1,3,2,7,5,6,4] => [1,2,2,2,1]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] => [3,6,7,5,8,4,2,1] => [8,1,3,2,7,6,5,4] => [1,2,2,1,1,1]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]] => [3,6,5,7,8,4,2,1] => [8,1,3,2,6,5,7,4] => [1,2,2,2,1]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [8,1,3,2,5,6,7,4] => [1,2,4,1]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [8,1,4,3,2,5,6,7] => [1,2,1,4]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [8,1,4,3,2,5,7,6] => [1,2,1,3,1]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] => [4,3,6,8,7,5,2,1] => [8,1,4,3,2,6,5,7] => [1,2,1,2,2]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] => [4,3,7,6,8,5,2,1] => [8,1,4,3,2,7,6,5] => [1,2,1,2,1,1]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [8,1,4,3,2,6,7,5] => [1,2,1,3,1]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [8,1,3,4,2,5,6,7] => [1,3,4]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] => [3,4,7,8,6,5,2,1] => [8,1,3,4,2,5,7,6] => [1,3,3,1]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] => [3,4,6,8,7,5,2,1] => [8,1,3,4,2,6,5,7] => [1,3,2,2]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] => [3,4,7,6,8,5,2,1] => [8,1,3,4,2,7,6,5] => [1,3,2,1,1]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [8,1,3,4,2,6,7,5] => [1,3,3,1]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [8,1,5,3,4,2,6,7] => [1,2,2,3]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [8,1,5,3,4,2,7,6] => [1,2,2,2,1]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]] => [4,5,3,8,7,6,2,1] => [8,1,5,4,3,2,6,7] => [1,2,1,1,3]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => [8,1,5,4,3,2,7,6] => [1,2,1,1,2,1]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] => [3,5,4,8,7,6,2,1] => [8,1,3,5,4,2,6,7] => [1,3,1,3]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] => [4,3,5,8,7,6,2,1] => [8,1,4,3,5,2,6,7] => [1,2,2,3]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1] => [8,1,4,3,5,2,7,6] => [1,2,2,2,1]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [8,1,3,4,5,2,6,7] => [1,4,3]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [8,1,3,4,5,2,7,6] => [1,4,2,1]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [8,1,6,3,4,5,2,7] => [1,2,3,2]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [8,1,6,3,5,4,2,7] => [1,2,2,1,2]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]] => [4,6,5,3,8,7,2,1] => [8,1,6,4,3,5,2,7] => [1,2,1,2,2]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]] => [5,4,6,3,8,7,2,1] => [8,1,6,5,4,3,2,7] => [1,2,1,1,1,2]
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => [8,1,6,4,5,3,2,7] => [1,2,2,1,2]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] => [3,6,5,4,8,7,2,1] => [8,1,3,6,4,5,2,7] => [1,3,2,2]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] => [3,5,6,4,8,7,2,1] => [8,1,3,6,5,4,2,7] => [1,3,1,1,2]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [8,1,4,3,6,5,2,7] => [1,2,2,1,2]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]] => [3,4,6,5,8,7,2,1] => [8,1,3,4,6,5,2,7] => [1,4,1,2]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [8,1,5,3,4,6,2,7] => [1,2,3,2]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] => [4,5,3,6,8,7,2,1] => [8,1,5,4,3,6,2,7] => [1,2,1,2,2]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]] => [3,5,4,6,8,7,2,1] => [8,1,3,5,4,6,2,7] => [1,3,2,2]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] => [4,3,5,6,8,7,2,1] => [8,1,4,3,5,6,2,7] => [1,2,3,2]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [8,1,7,3,4,5,6,2] => [1,2,4,1]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => [8,1,7,3,5,4,6,2] => [1,2,2,2,1]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] => [6,5,7,4,3,8,2,1] => [8,1,7,3,6,5,4,2] => [1,2,2,1,1,1]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [8,1,7,3,5,6,4,2] => [1,2,3,1,1]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [8,1,7,4,3,5,6,2] => [1,2,1,3,1]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]] => [4,6,7,5,3,8,2,1] => [8,1,7,4,3,6,5,2] => [1,2,1,2,1,1]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [8,1,7,5,4,3,6,2] => [1,2,1,1,2,1]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [8,1,7,6,4,5,3,2] => [1,2,1,2,1,1]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]] => [5,6,4,7,3,8,2,1] => [8,1,7,6,5,4,3,2] => [1,2,1,1,1,1,1]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [4,6,5,7,3,8,2,1] => [8,1,7,4,6,5,3,2] => [1,2,2,1,1,1]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [8,1,7,5,4,6,3,2] => [1,2,1,2,1,1]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [8,1,7,4,5,6,3,2] => [1,2,3,1,1]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [8,1,3,7,4,5,6,2] => [1,3,3,1]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]] => [3,6,7,5,4,8,2,1] => [8,1,3,7,4,6,5,2] => [1,3,2,1,1]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [8,1,3,7,5,4,6,2] => [1,3,1,2,1]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]] => [3,6,5,7,4,8,2,1] => [8,1,3,7,6,5,4,2] => [1,3,1,1,1,1]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [8,1,3,7,5,6,4,2] => [1,3,2,1,1]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [8,1,4,3,7,5,6,2] => [1,2,2,2,1]
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]] => [4,3,6,7,5,8,2,1] => [8,1,4,3,7,6,5,2] => [1,2,2,1,1,1]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [8,1,3,4,7,5,6,2] => [1,4,2,1]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] => [4,5,3,7,6,8,2,1] => [8,1,5,4,3,7,6,2] => [1,2,1,2,1,1]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [8,1,3,5,4,7,6,2] => [1,3,2,1,1]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]] => [4,3,5,7,6,8,2,1] => [8,1,4,3,5,7,6,2] => [1,2,3,1,1]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [8,1,3,4,5,7,6,2] => [1,5,1,1]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [8,1,6,3,4,5,7,2] => [1,2,4,1]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]] => [5,6,4,3,7,8,2,1] => [8,1,6,3,5,4,7,2] => [1,2,2,2,1]
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]] => [4,6,5,3,7,8,2,1] => [8,1,6,4,3,5,7,2] => [1,2,1,3,1]
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]] => [5,4,6,3,7,8,2,1] => [8,1,6,5,4,3,7,2] => [1,2,1,1,2,1]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [8,1,6,4,5,3,7,2] => [1,2,2,2,1]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [8,1,3,6,5,4,7,2] => [1,3,1,2,1]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [8,1,4,3,6,5,7,2] => [1,2,2,2,1]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [8,1,5,3,4,6,7,2] => [1,2,4,1]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]] => [4,5,3,6,7,8,2,1] => [8,1,5,4,3,6,7,2] => [1,2,1,3,1]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [8,1,3,5,4,6,7,2] => [1,3,3,1]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [8,1,4,3,5,6,7,2] => [1,2,4,1]
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [8,1,3,4,5,6,7,2] => [1,6,1]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [8,2,1,3,4,5,6,7] => [1,1,6]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [8,2,1,3,4,5,7,6] => [1,1,5,1]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [8,2,1,3,4,6,5,7] => [1,1,4,2]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [8,2,1,3,4,7,6,5] => [1,1,4,1,1]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [8,2,1,3,4,6,7,5] => [1,1,5,1]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] => [2,5,7,8,6,4,3,1] => [8,2,1,3,5,4,7,6] => [1,1,3,2,1]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] => [2,6,5,8,7,4,3,1] => [8,2,1,3,6,5,4,7] => [1,1,3,1,2]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] => [2,5,6,8,7,4,3,1] => [8,2,1,3,5,6,4,7] => [1,1,4,2]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [8,2,1,3,7,6,5,4] => [1,1,3,1,1,1]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]] => [2,5,7,6,8,4,3,1] => [8,2,1,3,5,7,6,4] => [1,1,4,1,1]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [8,2,1,3,6,5,7,4] => [1,1,3,2,1]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [8,2,1,3,5,6,7,4] => [1,1,5,1]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [8,2,1,4,3,5,6,7] => [1,1,2,4]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [8,2,1,4,3,5,7,6] => [1,1,2,3,1]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [8,2,1,4,3,6,5,7] => [1,1,2,2,2]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [8,2,1,4,3,6,7,5] => [1,1,2,3,1]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [8,2,1,5,4,3,7,6] => [1,1,2,1,2,1]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [8,2,1,6,4,5,3,7] => [1,1,2,2,2]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [8,2,1,6,5,4,3,7] => [1,1,2,1,1,2]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [8,2,1,4,6,5,3,7] => [1,1,3,1,2]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [8,2,1,4,5,6,3,7] => [1,1,4,2]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [8,2,1,7,4,5,6,3] => [1,1,2,3,1]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] => [2,6,7,5,4,8,3,1] => [8,2,1,7,4,6,5,3] => [1,1,2,2,1,1]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]] => [2,5,7,6,4,8,3,1] => [8,2,1,7,5,4,6,3] => [1,1,2,1,2,1]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]] => [2,6,5,7,4,8,3,1] => [8,2,1,7,6,5,4,3] => [1,1,2,1,1,1,1]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [8,2,1,7,5,6,4,3] => [1,1,2,2,1,1]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [8,2,1,4,7,6,5,3] => [1,1,3,1,1,1]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [8,2,1,6,4,5,7,3] => [1,1,2,3,1]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [8,2,1,6,5,4,7,3] => [1,1,2,1,2,1]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [8,2,1,4,6,5,7,3] => [1,1,3,2,1]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [8,2,1,5,4,6,7,3] => [1,1,2,3,1]
[.,[[.,.],[[[[[.,.],.],.],.],.]]] => [2,4,5,6,7,8,3,1] => [8,2,1,4,5,6,7,3] => [1,1,5,1]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [8,3,2,1,4,5,6,7] => [1,1,1,5]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [8,3,2,1,4,5,7,6] => [1,1,1,4,1]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] => [3,2,6,8,7,5,4,1] => [8,3,2,1,4,6,5,7] => [1,1,1,3,2]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] => [3,2,7,6,8,5,4,1] => [8,3,2,1,4,7,6,5] => [1,1,1,3,1,1]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [8,3,2,1,5,4,7,6] => [1,1,1,2,2,1]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] => [3,2,6,5,8,7,4,1] => [8,3,2,1,6,5,4,7] => [1,1,1,2,1,2]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] => [3,2,5,6,8,7,4,1] => [8,3,2,1,5,6,4,7] => [1,1,1,3,2]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [8,3,2,1,7,6,5,4] => [1,1,1,2,1,1,1]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]] => [3,2,5,7,6,8,4,1] => [8,3,2,1,5,7,6,4] => [1,1,1,3,1,1]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]] => [3,2,6,5,7,8,4,1] => [8,3,2,1,6,5,7,4] => [1,1,1,2,2,1]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [8,2,3,1,4,5,6,7] => [1,2,5]
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] => [2,3,7,8,6,5,4,1] => [8,2,3,1,4,5,7,6] => [1,2,4,1]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] => [2,3,6,8,7,5,4,1] => [8,2,3,1,4,6,5,7] => [1,2,3,2]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]] => [2,3,7,6,8,5,4,1] => [8,2,3,1,4,7,6,5] => [1,2,3,1,1]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [8,2,3,1,5,4,7,6] => [1,2,2,2,1]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [8,2,3,1,6,5,4,7] => [1,2,2,1,2]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [8,2,3,1,5,6,4,7] => [1,2,3,2]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] => [2,3,7,6,5,8,4,1] => [8,2,3,1,7,5,6,4] => [1,2,2,2,1]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]] => [2,3,6,7,5,8,4,1] => [8,2,3,1,7,6,5,4] => [1,2,2,1,1,1]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]] => [2,3,5,7,6,8,4,1] => [8,2,3,1,5,7,6,4] => [1,2,3,1,1]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]] => [2,3,6,5,7,8,4,1] => [8,2,3,1,6,5,7,4] => [1,2,2,2,1]
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [8,2,3,1,5,6,7,4] => [1,2,4,1]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [8,4,2,3,1,5,6,7] => [1,1,2,4]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [8,4,2,3,1,5,7,6] => [1,1,2,3,1]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => [8,4,2,3,1,6,5,7] => [1,1,2,2,2]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]] => [4,3,2,6,7,8,5,1] => [8,4,2,3,1,6,7,5] => [1,1,2,3,1]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [8,4,3,2,1,5,6,7] => [1,1,1,1,4]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => [8,4,3,2,1,5,7,6] => [1,1,1,1,3,1]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]] => [3,4,2,6,7,8,5,1] => [8,4,3,2,1,6,7,5] => [1,1,1,1,3,1]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [8,2,4,3,1,5,6,7] => [1,2,1,4]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [8,2,4,3,1,6,5,7] => [1,2,1,2,2]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] => [2,4,3,7,6,8,5,1] => [8,2,4,3,1,7,6,5] => [1,2,1,2,1,1]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] => [3,2,4,8,7,6,5,1] => [8,3,2,4,1,5,6,7] => [1,1,2,4]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]] => [3,2,4,6,7,8,5,1] => [8,3,2,4,1,6,7,5] => [1,1,2,3,1]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [8,2,3,4,1,5,6,7] => [1,3,4]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [8,2,3,4,1,5,7,6] => [1,3,3,1]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]] => [2,3,4,6,8,7,5,1] => [8,2,3,4,1,6,5,7] => [1,3,2,2]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [8,2,3,4,1,7,6,5] => [1,3,2,1,1]
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [8,2,3,4,1,6,7,5] => [1,3,3,1]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [8,5,2,3,4,1,6,7] => [1,1,3,3]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [8,5,2,3,4,1,7,6] => [1,1,3,2,1]
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]] => [4,5,3,2,8,7,6,1] => [8,5,2,4,3,1,6,7] => [1,1,2,1,3]
[.,[[.,[.,[[.,.],.]]],[[.,.],.]]] => [4,5,3,2,7,8,6,1] => [8,5,2,4,3,1,7,6] => [1,1,2,1,2,1]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [8,5,3,2,4,1,7,6] => [1,1,1,2,2,1]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [8,5,4,3,2,1,6,7] => [1,1,1,1,1,3]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]] => [3,4,5,2,7,8,6,1] => [8,5,3,4,2,1,7,6] => [1,1,2,1,2,1]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] => [2,5,4,3,8,7,6,1] => [8,2,5,3,4,1,6,7] => [1,2,2,3]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] => [2,5,4,3,7,8,6,1] => [8,2,5,3,4,1,7,6] => [1,2,2,2,1]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [8,2,5,4,3,1,7,6] => [1,2,1,1,2,1]
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] => [2,3,5,4,8,7,6,1] => [8,2,3,5,4,1,6,7] => [1,3,1,3]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [8,2,3,5,4,1,7,6] => [1,3,1,2,1]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [8,4,2,3,5,1,6,7] => [1,1,3,3]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [8,4,3,2,5,1,7,6] => [1,1,1,2,2,1]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]] => [2,4,3,5,7,8,6,1] => [8,2,4,3,5,1,7,6] => [1,2,2,2,1]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [8,2,3,4,5,1,6,7] => [1,4,3]
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [8,2,3,4,5,1,7,6] => [1,4,2,1]
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]] => [5,6,4,3,2,8,7,1] => [8,6,2,3,5,4,1,7] => [1,1,3,1,2]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [8,6,2,4,3,5,1,7] => [1,1,2,2,2]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]] => [4,5,6,3,2,8,7,1] => [8,6,2,4,5,3,1,7] => [1,1,3,1,2]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [8,6,3,2,4,5,1,7] => [1,1,1,3,2]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => [8,6,3,2,5,4,1,7] => [1,1,1,2,1,2]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [8,6,4,3,2,5,1,7] => [1,1,1,1,2,2]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [8,6,5,3,4,2,1,7] => [1,1,1,2,1,2]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,2]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] => [3,5,4,6,2,8,7,1] => [8,6,3,5,4,2,1,7] => [1,1,2,1,1,2]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [8,2,6,3,4,5,1,7] => [1,2,3,2]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [8,2,6,4,3,5,1,7] => [1,2,1,2,2]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [8,2,6,4,5,3,1,7] => [1,2,2,1,2]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [8,3,2,6,4,5,1,7] => [1,1,2,2,2]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [8,4,2,3,6,5,1,7] => [1,1,3,1,2]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => [8,4,3,2,6,5,1,7] => [1,1,1,2,1,2]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [8,2,4,3,6,5,1,7] => [1,2,2,1,2]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [8,3,2,4,6,5,1,7] => [1,1,3,1,2]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [8,5,2,3,4,6,1,7] => [1,1,4,2]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [8,5,2,4,3,6,1,7] => [1,1,2,2,2]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]] => [3,5,4,2,6,8,7,1] => [8,5,3,2,4,6,1,7] => [1,1,1,3,2]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]] => [4,3,5,2,6,8,7,1] => [8,5,4,3,2,6,1,7] => [1,1,1,1,2,2]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]] => [3,4,5,2,6,8,7,1] => [8,5,3,4,2,6,1,7] => [1,1,2,2,2]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [8,2,5,3,4,6,1,7] => [1,2,3,2]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]] => [2,4,5,3,6,8,7,1] => [8,2,5,4,3,6,1,7] => [1,2,1,2,2]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] => [3,2,5,4,6,8,7,1] => [8,3,2,5,4,6,1,7] => [1,1,2,2,2]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [8,4,2,3,5,6,1,7] => [1,1,4,2]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [8,4,3,2,5,6,1,7] => [1,1,1,3,2]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [8,2,4,3,5,6,1,7] => [1,2,3,2]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [8,3,2,4,5,6,1,7] => [1,1,4,2]
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [8,2,3,4,5,6,1,7] => [1,5,2]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,7,2,3,4,5,6,1] => [1,1,5,1]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,7,2,3,4,6,5,1] => [1,1,4,1,1]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [8,7,2,3,5,4,6,1] => [1,1,3,2,1]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,7,2,3,6,5,4,1] => [1,1,3,1,1,1]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [8,7,2,3,5,6,4,1] => [1,1,4,1,1]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [8,7,2,4,3,5,6,1] => [1,1,2,3,1]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [8,7,2,4,3,6,5,1] => [1,1,2,2,1,1]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]] => [5,4,7,6,3,2,8,1] => [8,7,2,5,4,3,6,1] => [1,1,2,1,2,1]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]] => [4,5,7,6,3,2,8,1] => [8,7,2,4,5,3,6,1] => [1,1,3,2,1]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,7,2,6,4,5,3,1] => [1,1,2,2,1,1]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]] => [5,6,4,7,3,2,8,1] => [8,7,2,6,5,4,3,1] => [1,1,2,1,1,1,1]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [8,7,2,4,6,5,3,1] => [1,1,3,1,1,1]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,7,2,4,5,6,3,1] => [1,1,4,1,1]
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]] => [3,6,7,5,4,2,8,1] => [8,7,3,2,4,6,5,1] => [1,1,1,3,1,1]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [8,7,3,2,5,4,6,1] => [1,1,1,2,2,1]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]] => [3,6,5,7,4,2,8,1] => [8,7,3,2,6,5,4,1] => [1,1,1,2,1,1,1]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [8,7,3,2,5,6,4,1] => [1,1,1,3,1,1]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]] => [4,3,7,6,5,2,8,1] => [8,7,4,3,2,5,6,1] => [1,1,1,1,3,1]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]] => [3,4,7,6,5,2,8,1] => [8,7,3,4,2,5,6,1] => [1,1,2,3,1]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [8,7,3,4,2,6,5,1] => [1,1,2,2,1,1]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] => [5,4,3,7,6,2,8,1] => [8,7,5,3,4,2,6,1] => [1,1,1,2,2,1]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [8,7,5,4,3,2,6,1] => [1,1,1,1,1,2,1]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => [8,7,3,5,4,2,6,1] => [1,1,2,1,2,1]
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]] => [4,3,5,7,6,2,8,1] => [8,7,4,3,5,2,6,1] => [1,1,1,2,2,1]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,7,6,3,4,5,2,1] => [1,1,1,3,1,1]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]] => [5,6,4,3,7,2,8,1] => [8,7,6,3,5,4,2,1] => [1,1,1,2,1,1,1]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [8,7,6,4,3,5,2,1] => [1,1,1,1,2,1,1]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,7,6,4,5,3,2,1] => [1,1,1,2,1,1,1]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [8,7,3,6,4,5,2,1] => [1,1,2,2,1,1]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [8,7,3,6,5,4,2,1] => [1,1,2,1,1,1,1]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [8,7,4,3,6,5,2,1] => [1,1,1,2,1,1,1]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [8,7,3,4,6,5,2,1] => [1,1,3,1,1,1]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,7,5,3,4,6,2,1] => [1,1,1,3,1,1]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]] => [4,5,3,6,7,2,8,1] => [8,7,5,4,3,6,2,1] => [1,1,1,1,2,1,1]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]] => [3,5,4,6,7,2,8,1] => [8,7,3,5,4,6,2,1] => [1,1,2,2,1,1]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]] => [4,3,5,6,7,2,8,1] => [8,7,4,3,5,6,2,1] => [1,1,1,3,1,1]
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,7,3,4,5,6,2,1] => [1,1,4,1,1]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [8,2,7,3,4,5,6,1] => [1,2,4,1]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] => [2,6,5,7,4,3,8,1] => [8,2,7,3,6,5,4,1] => [1,2,2,1,1,1]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]] => [2,4,7,6,5,3,8,1] => [8,2,7,4,3,5,6,1] => [1,2,1,3,1]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => [8,2,7,5,4,3,6,1] => [1,2,1,1,2,1]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]] => [2,4,5,7,6,3,8,1] => [8,2,7,4,5,3,6,1] => [1,2,2,2,1]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]] => [2,5,6,4,7,3,8,1] => [8,2,7,6,5,4,3,1] => [1,2,1,1,1,1,1]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [8,2,7,4,6,5,3,1] => [1,2,2,1,1,1]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [8,2,7,5,4,6,3,1] => [1,2,1,2,1,1]
[.,[[[.,.],[[[[.,.],.],.],.]],.]] => [2,4,5,6,7,3,8,1] => [8,2,7,4,5,6,3,1] => [1,2,3,1,1]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [8,3,2,7,4,6,5,1] => [1,1,2,2,1,1]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [8,3,2,7,5,4,6,1] => [1,1,2,1,2,1]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [8,3,2,7,6,5,4,1] => [1,1,2,1,1,1,1]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [8,3,2,7,5,6,4,1] => [1,1,2,2,1,1]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [8,2,3,7,4,5,6,1] => [1,3,3,1]
[.,[[[[.,.],.],[.,[[.,.],.]]],.]] => [2,3,6,7,5,4,8,1] => [8,2,3,7,4,6,5,1] => [1,3,2,1,1]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]] => [2,3,5,7,6,4,8,1] => [8,2,3,7,5,4,6,1] => [1,3,1,2,1]
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [8,2,3,7,5,6,4,1] => [1,3,2,1,1]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]] => [4,3,2,7,6,5,8,1] => [8,4,2,3,7,5,6,1] => [1,1,3,2,1]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1] => [8,4,2,3,7,6,5,1] => [1,1,3,1,1,1]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]] => [3,4,2,7,6,5,8,1] => [8,4,3,2,7,5,6,1] => [1,1,1,2,2,1]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [8,4,3,2,7,6,5,1] => [1,1,1,2,1,1,1]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [8,2,4,3,7,5,6,1] => [1,2,2,2,1]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]] => [2,4,3,6,7,5,8,1] => [8,2,4,3,7,6,5,1] => [1,2,2,1,1,1]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [8,3,2,4,7,5,6,1] => [1,1,3,2,1]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]] => [3,2,4,6,7,5,8,1] => [8,3,2,4,7,6,5,1] => [1,1,3,1,1,1]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [8,2,3,4,7,5,6,1] => [1,4,2,1]
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [8,2,3,4,7,6,5,1] => [1,4,1,1,1]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [8,5,2,3,4,7,6,1] => [1,1,4,1,1]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]] => [4,5,3,2,7,6,8,1] => [8,5,2,4,3,7,6,1] => [1,1,2,2,1,1]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [8,5,4,3,2,7,6,1] => [1,1,1,1,2,1,1]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [8,5,3,4,2,7,6,1] => [1,1,2,2,1,1]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] => [2,5,4,3,7,6,8,1] => [8,2,5,3,4,7,6,1] => [1,2,3,1,1]
[.,[[[[.,.],[[.,.],.]],[.,.]],.]] => [2,4,5,3,7,6,8,1] => [8,2,5,4,3,7,6,1] => [1,2,1,2,1,1]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [8,3,2,5,4,7,6,1] => [1,1,2,2,1,1]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]] => [2,3,5,4,7,6,8,1] => [8,2,3,5,4,7,6,1] => [1,3,2,1,1]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]] => [4,3,2,5,7,6,8,1] => [8,4,2,3,5,7,6,1] => [1,1,4,1,1]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]] => [3,4,2,5,7,6,8,1] => [8,4,3,2,5,7,6,1] => [1,1,1,3,1,1]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [8,2,4,3,5,7,6,1] => [1,2,3,1,1]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [8,3,2,4,5,7,6,1] => [1,1,4,1,1]
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [8,2,3,4,5,7,6,1] => [1,5,1,1]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,6,2,3,4,5,7,1] => [1,1,5,1]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,6,2,5,4,3,7,1] => [1,1,2,1,2,1]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,6,2,4,5,3,7,1] => [1,1,3,2,1]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]] => [3,5,6,4,2,7,8,1] => [8,6,3,2,5,4,7,1] => [1,1,1,2,2,1]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]] => [4,3,6,5,2,7,8,1] => [8,6,4,3,2,5,7,1] => [1,1,1,1,3,1]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [8,6,5,3,4,2,7,1] => [1,1,1,2,2,1]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]] => [4,5,3,6,2,7,8,1] => [8,6,5,4,3,2,7,1] => [1,1,1,1,1,2,1]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]] => [3,5,4,6,2,7,8,1] => [8,6,3,5,4,2,7,1] => [1,1,2,1,2,1]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,6,4,3,5,2,7,1] => [1,1,1,2,2,1]
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,6,3,4,5,2,7,1] => [1,1,3,2,1]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [8,2,6,3,4,5,7,1] => [1,2,4,1]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]] => [2,5,6,4,3,7,8,1] => [8,2,6,3,5,4,7,1] => [1,2,2,2,1]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [8,2,6,5,4,3,7,1] => [1,2,1,1,2,1]
[.,[[[[.,.],[[[.,.],.],.]],.],.]] => [2,4,5,6,3,7,8,1] => [8,2,6,4,5,3,7,1] => [1,2,2,2,1]
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [8,3,2,6,5,4,7,1] => [1,1,2,1,2,1]
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [8,2,3,6,5,4,7,1] => [1,3,1,2,1]
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]] => [4,3,2,6,5,7,8,1] => [8,4,2,3,6,5,7,1] => [1,1,3,2,1]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [8,4,3,2,6,5,7,1] => [1,1,1,2,2,1]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => [8,2,4,3,6,5,7,1] => [1,2,2,2,1]
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [8,2,3,4,6,5,7,1] => [1,4,2,1]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,5,2,3,4,6,7,1] => [1,1,5,1]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]] => [4,5,3,2,6,7,8,1] => [8,5,2,4,3,6,7,1] => [1,1,2,3,1]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,5,4,3,2,6,7,1] => [1,1,1,1,3,1]
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,5,3,4,2,6,7,1] => [1,1,2,3,1]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [8,2,5,3,4,6,7,1] => [1,2,4,1]
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [8,2,5,4,3,6,7,1] => [1,2,1,3,1]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]] => [3,2,5,4,6,7,8,1] => [8,3,2,5,4,6,7,1] => [1,1,2,3,1]
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [8,2,3,5,4,6,7,1] => [1,3,3,1]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,4,2,3,5,6,7,1] => [1,1,5,1]
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,4,3,2,5,6,7,1] => [1,1,1,4,1]
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [8,2,4,3,5,6,7,1] => [1,2,4,1]
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [1,1,5,1]
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [1,6,1]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [1,8,2,3,4,5,6,7] => [2,6]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [1,8,2,3,4,5,7,6] => [2,5,1]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] => [1,6,8,7,5,4,3,2] => [1,8,2,3,4,6,5,7] => [2,4,2]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [1,8,2,3,4,7,6,5] => [2,4,1,1]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [1,8,2,3,4,6,7,5] => [2,5,1]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [1,8,2,3,5,4,6,7] => [2,3,3]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,5,7,8,6,4,3,2] => [1,8,2,3,5,4,7,6] => [2,3,2,1]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [1,8,2,3,6,5,4,7] => [2,3,1,2]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] => [1,5,6,8,7,4,3,2] => [1,8,2,3,5,6,4,7] => [2,4,2]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [1,8,2,3,7,5,6,4] => [2,3,2,1]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [1,8,2,3,7,6,5,4] => [2,3,1,1,1]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [1,8,2,3,5,7,6,4] => [2,4,1,1]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [1,8,2,3,6,5,7,4] => [2,3,2,1]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [1,8,2,3,5,6,7,4] => [2,5,1]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [1,8,2,4,3,5,6,7] => [2,2,4]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => [1,8,2,4,3,5,7,6] => [2,2,3,1]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [1,8,2,4,3,6,5,7] => [2,2,2,2]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] => [1,4,7,6,8,5,3,2] => [1,8,2,4,3,7,6,5] => [2,2,2,1,1]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] => [1,5,4,8,7,6,3,2] => [1,8,2,5,4,3,6,7] => [2,2,1,3]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [1,8,2,4,5,3,6,7] => [2,3,3]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]] => [1,4,5,7,8,6,3,2] => [1,8,2,4,5,3,7,6] => [2,3,2,1]
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,6,5,4,8,7,3,2] => [1,8,2,6,4,5,3,7] => [2,2,2,2]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [1,8,2,4,6,5,3,7] => [2,3,1,2]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [1,8,2,5,4,6,3,7] => [2,2,2,2]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [1,8,2,7,4,5,6,3] => [2,2,3,1]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]] => [1,6,7,5,4,8,3,2] => [1,8,2,7,4,6,5,3] => [2,2,2,1,1]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]] => [1,6,5,7,4,8,3,2] => [1,8,2,7,6,5,4,3] => [2,2,1,1,1,1]
[[.,.],[.,[[.,[[[.,.],.],.]],.]]] => [1,5,6,7,4,8,3,2] => [1,8,2,7,5,6,4,3] => [2,2,2,1,1]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] => [1,4,7,6,5,8,3,2] => [1,8,2,4,7,5,6,3] => [2,3,2,1]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [1,8,2,4,7,6,5,3] => [2,3,1,1,1]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]] => [1,5,4,7,6,8,3,2] => [1,8,2,5,4,7,6,3] => [2,2,2,1,1]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]] => [1,4,5,7,6,8,3,2] => [1,8,2,4,5,7,6,3] => [2,4,1,1]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [1,8,2,6,4,5,7,3] => [2,2,3,1]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [1,8,2,5,4,6,7,3] => [2,2,3,1]
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [1,8,2,4,5,6,7,3] => [2,5,1]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [1,8,3,2,4,5,6,7] => [2,1,5]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [1,8,3,2,4,5,7,6] => [2,1,4,1]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [1,8,3,2,4,6,5,7] => [2,1,3,2]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [1,8,3,2,4,6,7,5] => [2,1,4,1]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [1,8,3,2,5,4,6,7] => [2,1,2,3]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [1,8,3,2,5,4,7,6] => [2,1,2,2,1]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [1,8,3,2,5,6,4,7] => [2,1,3,2]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] => [1,3,7,6,5,8,4,2] => [1,8,3,2,7,5,6,4] => [2,1,2,2,1]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [1,8,3,2,7,6,5,4] => [2,1,2,1,1,1]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [1,8,3,2,5,7,6,4] => [2,1,3,1,1]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [1,8,3,2,6,5,7,4] => [2,1,2,2,1]
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [1,8,3,2,5,6,7,4] => [2,1,4,1]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [1,8,4,3,2,5,6,7] => [2,1,1,4]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [1,8,4,3,2,5,7,6] => [2,1,1,3,1]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [1,8,4,3,2,6,5,7] => [2,1,1,2,2]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [1,8,4,3,2,7,6,5] => [2,1,1,2,1,1]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [1,8,4,3,2,6,7,5] => [2,1,1,3,1]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] => [1,3,4,8,7,6,5,2] => [1,8,3,4,2,5,6,7] => [2,2,4]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]] => [1,3,4,7,8,6,5,2] => [1,8,3,4,2,5,7,6] => [2,2,3,1]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]] => [1,3,4,6,8,7,5,2] => [1,8,3,4,2,6,5,7] => [2,2,2,2]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]] => [1,3,4,7,6,8,5,2] => [1,8,3,4,2,7,6,5] => [2,2,2,1,1]
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [1,8,3,4,2,6,7,5] => [2,2,3,1]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [1,8,5,3,4,2,6,7] => [2,1,2,3]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [1,8,5,4,3,2,6,7] => [2,1,1,1,3]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]] => [1,4,5,3,7,8,6,2] => [1,8,5,4,3,2,7,6] => [2,1,1,1,2,1]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] => [1,3,5,4,8,7,6,2] => [1,8,3,5,4,2,6,7] => [2,2,1,3]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [1,8,3,5,4,2,7,6] => [2,2,1,2,1]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [1,8,4,3,5,2,6,7] => [2,1,2,3]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]] => [1,4,3,5,7,8,6,2] => [1,8,4,3,5,2,7,6] => [2,1,2,2,1]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [1,8,3,4,5,2,6,7] => [2,3,3]
[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => [1,8,3,4,5,2,7,6] => [2,3,2,1]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [1,8,6,3,4,5,2,7] => [2,1,3,2]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => [1,8,6,3,5,4,2,7] => [2,1,2,1,2]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]] => [1,5,4,6,3,8,7,2] => [1,8,6,5,4,3,2,7] => [2,1,1,1,1,2]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [1,8,3,6,4,5,2,7] => [2,2,2,2]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]] => [1,3,5,6,4,8,7,2] => [1,8,3,6,5,4,2,7] => [2,2,1,1,2]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [1,8,4,3,6,5,2,7] => [2,1,2,1,2]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [1,8,5,3,4,6,2,7] => [2,1,3,2]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]] => [1,4,5,3,6,8,7,2] => [1,8,5,4,3,6,2,7] => [2,1,1,2,2]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]] => [1,3,5,4,6,8,7,2] => [1,8,3,5,4,6,2,7] => [2,2,2,2]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]] => [1,4,3,5,6,8,7,2] => [1,8,4,3,5,6,2,7] => [2,1,3,2]
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [1,8,3,4,5,6,2,7] => [2,4,2]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [1,8,7,3,4,5,6,2] => [2,1,4,1]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] => [1,6,7,5,4,3,8,2] => [1,8,7,3,4,6,5,2] => [2,1,3,1,1]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [1,8,7,3,6,5,4,2] => [2,1,2,1,1,1]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]] => [1,4,7,6,5,3,8,2] => [1,8,7,4,3,5,6,2] => [2,1,1,3,1]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]] => [1,4,6,7,5,3,8,2] => [1,8,7,4,3,6,5,2] => [2,1,1,2,1,1]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]] => [1,5,4,7,6,3,8,2] => [1,8,7,5,4,3,6,2] => [2,1,1,1,2,1]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]] => [1,4,5,7,6,3,8,2] => [1,8,7,4,5,3,6,2] => [2,1,2,2,1]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]] => [1,5,6,4,7,3,8,2] => [1,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [1,8,7,5,4,6,3,2] => [2,1,1,2,1,1]
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [1,8,7,4,5,6,3,2] => [2,1,3,1,1]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [1,8,3,7,5,4,6,2] => [2,2,1,2,1]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [1,8,3,7,6,5,4,2] => [2,2,1,1,1,1]
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [1,8,3,7,5,6,4,2] => [2,2,2,1,1]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]] => [1,3,4,7,6,5,8,2] => [1,8,3,4,7,5,6,2] => [2,3,2,1]
[[.,.],[[[[.,.],.],[[.,.],.]],.]] => [1,3,4,6,7,5,8,2] => [1,8,3,4,7,6,5,2] => [2,3,1,1,1]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]] => [1,5,4,3,7,6,8,2] => [1,8,5,3,4,7,6,2] => [2,1,3,1,1]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [1,8,3,5,4,7,6,2] => [2,2,2,1,1]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]] => [1,4,3,5,7,6,8,2] => [1,8,4,3,5,7,6,2] => [2,1,3,1,1]
[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => [1,8,3,4,5,7,6,2] => [2,4,1,1]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [1,8,6,3,4,5,7,2] => [2,1,4,1]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]] => [1,4,6,5,3,7,8,2] => [1,8,6,4,3,5,7,2] => [2,1,1,3,1]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [1,8,6,5,4,3,7,2] => [2,1,1,1,2,1]
[[.,.],[[[.,[[[.,.],.],.]],.],.]] => [1,4,5,6,3,7,8,2] => [1,8,6,4,5,3,7,2] => [2,1,2,2,1]
[[.,.],[[[[.,.],[[.,.],.]],.],.]] => [1,3,5,6,4,7,8,2] => [1,8,3,6,5,4,7,2] => [2,2,1,2,1]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]] => [1,4,3,6,5,7,8,2] => [1,8,4,3,6,5,7,2] => [2,1,2,2,1]
[[.,.],[[[[[.,.],.],[.,.]],.],.]] => [1,3,4,6,5,7,8,2] => [1,8,3,4,6,5,7,2] => [2,3,2,1]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [1,8,5,3,4,6,7,2] => [2,1,4,1]
[[.,.],[[[[.,[[.,.],.]],.],.],.]] => [1,4,5,3,6,7,8,2] => [1,8,5,4,3,6,7,2] => [2,1,1,3,1]
[[.,.],[[[[[.,.],[.,.]],.],.],.]] => [1,3,5,4,6,7,8,2] => [1,8,3,5,4,6,7,2] => [2,2,3,1]
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [1,8,4,3,5,6,7,2] => [2,1,4,1]
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => [2,5,1]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [2,1,8,3,4,5,6,7] => [1,2,5]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [2,1,8,3,4,5,7,6] => [1,2,4,1]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [2,1,8,3,4,7,6,5] => [1,2,3,1,1]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [2,1,8,3,4,6,7,5] => [1,2,4,1]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [2,1,8,3,5,4,7,6] => [1,2,2,2,1]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [2,1,8,3,6,5,4,7] => [1,2,2,1,2]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [2,1,8,3,7,5,6,4] => [1,2,2,2,1]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [2,1,8,3,7,6,5,4] => [1,2,2,1,1,1]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [2,1,8,3,5,7,6,4] => [1,2,3,1,1]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [2,1,8,3,6,5,7,4] => [1,2,2,2,1]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [2,1,8,3,5,6,7,4] => [1,2,4,1]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [2,1,8,4,3,5,6,7] => [1,2,1,4]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [2,1,8,4,3,5,7,6] => [1,2,1,3,1]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [2,1,8,4,3,6,5,7] => [1,2,1,2,2]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [2,1,8,4,3,7,6,5] => [1,2,1,2,1,1]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [2,1,8,5,4,3,6,7] => [1,2,1,1,3]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [2,1,8,5,4,3,7,6] => [1,2,1,1,2,1]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] => [2,1,4,5,8,7,6,3] => [2,1,8,4,5,3,6,7] => [1,2,2,3]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [2,1,8,4,5,3,7,6] => [1,2,2,2,1]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [2,1,8,6,4,5,3,7] => [1,2,1,2,2]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [2,1,8,6,5,4,3,7] => [1,2,1,1,1,2]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [2,1,8,4,6,5,3,7] => [1,2,2,1,2]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [2,1,8,5,4,6,3,7] => [1,2,1,2,2]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [2,1,8,4,5,6,3,7] => [1,2,3,2]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [2,1,8,7,4,5,6,3] => [1,2,1,3,1]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [2,1,8,7,4,6,5,3] => [1,2,1,2,1,1]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [2,1,8,7,5,4,6,3] => [1,2,1,1,2,1]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [2,1,8,7,6,5,4,3] => [1,2,1,1,1,1,1]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [2,1,8,7,5,6,4,3] => [1,2,1,2,1,1]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [2,1,8,4,7,5,6,3] => [1,2,2,2,1]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [2,1,8,4,7,6,5,3] => [1,2,2,1,1,1]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [2,1,8,5,4,7,6,3] => [1,2,1,2,1,1]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]] => [2,1,4,5,7,6,8,3] => [2,1,8,4,5,7,6,3] => [1,2,3,1,1]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]] => [2,1,6,5,4,7,8,3] => [2,1,8,6,4,5,7,3] => [1,2,1,3,1]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [2,1,8,6,5,4,7,3] => [1,2,1,1,2,1]
[[.,[.,.]],[[[[.,.],[.,.]],.],.]] => [2,1,4,6,5,7,8,3] => [2,1,8,4,6,5,7,3] => [1,2,2,2,1]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [2,1,8,5,4,6,7,3] => [1,2,1,3,1]
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [2,1,8,4,5,6,7,3] => [1,2,4,1]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [1,2,8,3,4,5,6,7] => [3,5]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [1,2,8,3,4,5,7,6] => [3,4,1]
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] => [1,2,6,8,7,5,4,3] => [1,2,8,3,4,6,5,7] => [3,3,2]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [1,2,8,3,4,7,6,5] => [3,3,1,1]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [1,2,8,3,4,6,7,5] => [3,4,1]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] => [1,2,5,8,7,6,4,3] => [1,2,8,3,5,4,6,7] => [3,2,3]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]] => [1,2,5,7,8,6,4,3] => [1,2,8,3,5,4,7,6] => [3,2,2,1]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] => [1,2,6,5,8,7,4,3] => [1,2,8,3,6,5,4,7] => [3,2,1,2]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [1,2,8,3,5,6,4,7] => [3,3,2]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]] => [1,2,6,7,5,8,4,3] => [1,2,8,3,7,6,5,4] => [3,2,1,1,1]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [1,2,8,3,5,7,6,4] => [3,3,1,1]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]] => [1,2,6,5,7,8,4,3] => [1,2,8,3,6,5,7,4] => [3,2,2,1]
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [1,2,8,3,5,6,7,4] => [3,4,1]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [1,2,8,4,3,5,6,7] => [3,1,4]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [1,2,8,4,3,5,7,6] => [3,1,3,1]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [1,2,8,4,3,6,5,7] => [3,1,2,2]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [1,2,8,4,3,7,6,5] => [3,1,2,1,1]
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [1,2,8,4,3,6,7,5] => [3,1,3,1]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [1,2,8,5,4,3,6,7] => [3,1,1,3]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [1,2,8,4,5,3,6,7] => [3,2,3]
[[[.,.],.],[[[.,.],.],[[.,.],.]]] => [1,2,4,5,7,8,6,3] => [1,2,8,4,5,3,7,6] => [3,2,2,1]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [1,2,8,6,4,5,3,7] => [3,1,2,2]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]] => [1,2,5,6,4,8,7,3] => [1,2,8,6,5,4,3,7] => [3,1,1,1,2]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]] => [1,2,5,4,6,8,7,3] => [1,2,8,5,4,6,3,7] => [3,1,2,2]
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [1,2,8,4,5,6,3,7] => [3,3,2]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [1,2,8,7,4,5,6,3] => [3,1,3,1]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]] => [1,2,6,7,5,4,8,3] => [1,2,8,7,4,6,5,3] => [3,1,2,1,1]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]] => [1,2,5,7,6,4,8,3] => [1,2,8,7,5,4,6,3] => [3,1,1,2,1]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]] => [1,2,6,5,7,4,8,3] => [1,2,8,7,6,5,4,3] => [3,1,1,1,1,1]
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [1,2,8,7,5,6,4,3] => [3,1,2,1,1]
[[[.,.],.],[[[.,.],[[.,.],.]],.]] => [1,2,4,6,7,5,8,3] => [1,2,8,4,7,6,5,3] => [3,2,1,1,1]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [1,2,8,5,4,7,6,3] => [3,1,2,1,1]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [1,2,8,6,4,5,7,3] => [3,1,3,1]
[[[.,.],.],[[[.,[[.,.],.]],.],.]] => [1,2,5,6,4,7,8,3] => [1,2,8,6,5,4,7,3] => [3,1,1,2,1]
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [1,2,8,5,4,6,7,3] => [3,1,3,1]
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => [3,4,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [3,1,2,8,4,5,6,7] => [1,3,4]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [3,1,2,8,4,5,7,6] => [1,3,3,1]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [3,1,2,8,4,6,5,7] => [1,3,2,2]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [3,1,2,8,4,7,6,5] => [1,3,2,1,1]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => [3,1,2,8,4,6,7,5] => [1,3,3,1]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [3,1,2,8,5,4,6,7] => [1,3,1,3]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [3,1,2,8,5,4,7,6] => [1,3,1,2,1]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [3,1,2,8,6,5,4,7] => [1,3,1,1,2]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [3,1,2,8,5,6,4,7] => [1,3,2,2]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [3,1,2,8,7,5,6,4] => [1,3,1,2,1]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]] => [3,2,1,6,7,5,8,4] => [3,1,2,8,7,6,5,4] => [1,3,1,1,1,1]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] => [3,2,1,5,7,6,8,4] => [3,1,2,8,5,7,6,4] => [1,3,2,1,1]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [3,1,2,8,6,5,7,4] => [1,3,1,2,1]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [3,1,2,8,5,6,7,4] => [1,3,3,1]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [3,2,1,8,4,5,6,7] => [1,1,2,4]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [3,2,1,8,4,5,7,6] => [1,1,2,3,1]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [3,2,1,8,4,6,5,7] => [1,1,2,2,2]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]] => [2,3,1,7,6,8,5,4] => [3,2,1,8,4,7,6,5] => [1,1,2,2,1,1]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [3,2,1,8,4,6,7,5] => [1,1,2,3,1]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]] => [2,3,1,5,8,7,6,4] => [3,2,1,8,5,4,6,7] => [1,1,2,1,3]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]] => [2,3,1,5,7,8,6,4] => [3,2,1,8,5,4,7,6] => [1,1,2,1,2,1]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [3,2,1,8,6,5,4,7] => [1,1,2,1,1,2]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]] => [2,3,1,5,6,8,7,4] => [3,2,1,8,5,6,4,7] => [1,1,2,2,2]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] => [2,3,1,7,6,5,8,4] => [3,2,1,8,7,5,6,4] => [1,1,2,1,2,1]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]] => [2,3,1,6,7,5,8,4] => [3,2,1,8,7,6,5,4] => [1,1,2,1,1,1,1]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [3,2,1,8,5,7,6,4] => [1,1,2,2,1,1]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]] => [2,3,1,6,5,7,8,4] => [3,2,1,8,6,5,7,4] => [1,1,2,1,2,1]
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [3,2,1,8,5,6,7,4] => [1,1,2,3,1]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [1,3,2,8,4,5,6,7] => [2,2,4]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] => [1,3,2,7,8,6,5,4] => [1,3,2,8,4,5,7,6] => [2,2,3,1]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] => [1,3,2,6,8,7,5,4] => [1,3,2,8,4,6,5,7] => [2,2,2,2]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [1,3,2,8,4,7,6,5] => [2,2,2,1,1]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [1,3,2,8,4,6,7,5] => [2,2,3,1]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [1,3,2,8,5,4,6,7] => [2,2,1,3]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [1,3,2,8,5,4,7,6] => [2,2,1,2,1]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] => [1,3,2,6,5,8,7,4] => [1,3,2,8,6,5,4,7] => [2,2,1,1,2]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]] => [1,3,2,5,6,8,7,4] => [1,3,2,8,5,6,4,7] => [2,2,2,2]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [1,3,2,8,7,5,6,4] => [2,2,1,2,1]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [1,3,2,8,7,6,5,4] => [2,2,1,1,1,1]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [1,3,2,8,5,7,6,4] => [2,2,2,1,1]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [1,3,2,8,6,5,7,4] => [2,2,1,2,1]
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [1,3,2,8,5,6,7,4] => [2,2,3,1]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [2,1,3,8,4,5,6,7] => [1,3,4]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [2,1,3,8,4,5,7,6] => [1,3,3,1]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] => [2,1,3,6,8,7,5,4] => [2,1,3,8,4,6,5,7] => [1,3,2,2]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] => [2,1,3,7,6,8,5,4] => [2,1,3,8,4,7,6,5] => [1,3,2,1,1]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [2,1,3,8,4,6,7,5] => [1,3,3,1]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] => [2,1,3,5,8,7,6,4] => [2,1,3,8,5,4,6,7] => [1,3,1,3]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]] => [2,1,3,5,7,8,6,4] => [2,1,3,8,5,4,7,6] => [1,3,1,2,1]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] => [2,1,3,6,5,8,7,4] => [2,1,3,8,6,5,4,7] => [1,3,1,1,2]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] => [2,1,3,7,6,5,8,4] => [2,1,3,8,7,5,6,4] => [1,3,1,2,1]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]] => [2,1,3,6,7,5,8,4] => [2,1,3,8,7,6,5,4] => [1,3,1,1,1,1]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]] => [2,1,3,5,7,6,8,4] => [2,1,3,8,5,7,6,4] => [1,3,2,1,1]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]] => [2,1,3,6,5,7,8,4] => [2,1,3,8,6,5,7,4] => [1,3,1,2,1]
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [2,1,3,8,5,6,7,4] => [1,3,3,1]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [1,2,3,8,4,5,6,7] => [4,4]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [1,2,3,8,4,5,7,6] => [4,3,1]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]] => [1,2,3,6,8,7,5,4] => [1,2,3,8,4,6,5,7] => [4,2,2]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [1,2,3,8,4,7,6,5] => [4,2,1,1]
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [1,2,3,8,4,6,7,5] => [4,3,1]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [1,2,3,8,5,4,6,7] => [4,1,3]
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [1,2,3,8,5,4,7,6] => [4,1,2,1]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]] => [1,2,3,6,5,8,7,4] => [1,2,3,8,6,5,4,7] => [4,1,1,2]
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [1,2,3,8,5,6,4,7] => [4,2,2]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [1,2,3,8,7,5,6,4] => [4,1,2,1]
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [1,2,3,8,7,6,5,4] => [4,1,1,1,1]
[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => [1,2,3,8,5,7,6,4] => [4,2,1,1]
[[[[.,.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,6,5,7,8,4] => [1,2,3,8,6,5,7,4] => [4,1,2,1]
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [1,2,3,8,5,6,7,4] => [4,3,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [4,1,2,3,8,5,6,7] => [1,4,3]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [4,1,2,3,8,5,7,6] => [1,4,2,1]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [4,1,2,3,8,6,5,7] => [1,4,1,2]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [4,1,2,3,8,7,6,5] => [1,4,1,1,1]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [4,1,2,3,8,6,7,5] => [1,4,2,1]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [4,1,3,2,8,5,6,7] => [1,2,2,3]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [4,1,3,2,8,5,7,6] => [1,2,2,2,1]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [4,1,3,2,8,6,5,7] => [1,2,2,1,2]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [4,1,3,2,8,7,6,5] => [1,2,2,1,1,1]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [4,1,3,2,8,6,7,5] => [1,2,2,2,1]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [4,2,1,3,8,5,6,7] => [1,1,3,3]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [4,2,1,3,8,5,7,6] => [1,1,3,2,1]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [4,2,1,3,8,6,5,7] => [1,1,3,1,2]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [4,2,1,3,8,7,6,5] => [1,1,3,1,1,1]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => [4,2,1,3,8,6,7,5] => [1,1,3,2,1]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [4,3,2,1,8,5,6,7] => [1,1,1,2,3]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [4,3,2,1,8,5,7,6] => [1,1,1,2,2,1]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [4,3,2,1,8,6,5,7] => [1,1,1,2,1,2]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [4,3,2,1,8,7,6,5] => [1,1,1,2,1,1,1]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [4,3,2,1,8,6,7,5] => [1,1,1,2,2,1]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [4,2,3,1,8,5,6,7] => [1,2,2,3]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [4,2,3,1,8,5,7,6] => [1,2,2,2,1]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [4,2,3,1,8,6,5,7] => [1,2,2,1,2]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [4,2,3,1,8,7,6,5] => [1,2,2,1,1,1]
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [4,2,3,1,8,6,7,5] => [1,2,2,2,1]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [1,4,2,3,8,5,6,7] => [2,3,3]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] => [1,4,3,2,7,8,6,5] => [1,4,2,3,8,5,7,6] => [2,3,2,1]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [1,4,2,3,8,6,5,7] => [2,3,1,2]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] => [1,4,3,2,7,6,8,5] => [1,4,2,3,8,7,6,5] => [2,3,1,1,1]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [1,4,2,3,8,6,7,5] => [2,3,2,1]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [1,4,3,2,8,5,6,7] => [2,1,2,3]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [1,4,3,2,8,5,7,6] => [2,1,2,2,1]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [1,4,3,2,8,6,5,7] => [2,1,2,1,2]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [1,4,3,2,8,7,6,5] => [2,1,2,1,1,1]
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [1,4,3,2,8,6,7,5] => [2,1,2,2,1]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [2,1,4,3,8,5,6,7] => [1,2,2,3]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [2,1,4,3,8,5,7,6] => [1,2,2,2,1]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [2,1,4,3,8,6,5,7] => [1,2,2,1,2]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [2,1,4,3,8,7,6,5] => [1,2,2,1,1,1]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [2,1,4,3,8,6,7,5] => [1,2,2,2,1]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [1,2,4,3,8,5,6,7] => [3,2,3]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [1,2,4,3,8,5,7,6] => [3,2,2,1]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [1,2,4,3,8,6,5,7] => [3,2,1,2]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [1,2,4,3,8,7,6,5] => [3,2,1,1,1]
[[[[.,.],.],[.,.]],[[[.,.],.],.]] => [1,2,4,3,6,7,8,5] => [1,2,4,3,8,6,7,5] => [3,2,2,1]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [3,1,2,4,8,5,6,7] => [1,4,3]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [3,1,2,4,8,5,7,6] => [1,4,2,1]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [3,1,2,4,8,6,5,7] => [1,4,1,2]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] => [3,2,1,4,7,6,8,5] => [3,1,2,4,8,7,6,5] => [1,4,1,1,1]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => [3,1,2,4,8,6,7,5] => [1,4,2,1]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [3,2,1,4,8,5,6,7] => [1,1,3,3]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]] => [2,3,1,4,7,8,6,5] => [3,2,1,4,8,5,7,6] => [1,1,3,2,1]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]] => [2,3,1,4,6,8,7,5] => [3,2,1,4,8,6,5,7] => [1,1,3,1,2]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [3,2,1,4,8,7,6,5] => [1,1,3,1,1,1]
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [3,2,1,4,8,6,7,5] => [1,1,3,2,1]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [1,3,2,4,8,5,6,7] => [2,3,3]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]] => [1,3,2,4,7,8,6,5] => [1,3,2,4,8,5,7,6] => [2,3,2,1]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [1,3,2,4,8,6,5,7] => [2,3,1,2]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]] => [1,3,2,4,7,6,8,5] => [1,3,2,4,8,7,6,5] => [2,3,1,1,1]
[[[[.,.],[.,.]],.],[[[.,.],.],.]] => [1,3,2,4,6,7,8,5] => [1,3,2,4,8,6,7,5] => [2,3,2,1]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [2,1,3,4,8,5,6,7] => [1,4,3]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [2,1,3,4,8,5,7,6] => [1,4,2,1]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]] => [2,1,3,4,6,8,7,5] => [2,1,3,4,8,6,5,7] => [1,4,1,2]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]] => [2,1,3,4,7,6,8,5] => [2,1,3,4,8,7,6,5] => [1,4,1,1,1]
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [2,1,3,4,8,6,7,5] => [1,4,2,1]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [1,2,3,4,8,5,6,7] => [5,3]
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [1,2,3,4,8,5,7,6] => [5,2,1]
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [1,2,3,4,8,6,5,7] => [5,1,2]
[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [1,2,3,4,8,7,6,5] => [5,1,1,1]
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [1,2,3,4,8,6,7,5] => [5,2,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [5,1,2,3,4,8,6,7] => [1,5,2]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [5,1,2,3,4,8,7,6] => [1,5,1,1]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [5,1,2,4,3,8,6,7] => [1,3,2,2]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]] => [4,5,3,2,1,7,8,6] => [5,1,2,4,3,8,7,6] => [1,3,2,1,1]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]] => [3,5,4,2,1,8,7,6] => [5,1,3,2,4,8,6,7] => [1,2,3,2]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [5,1,3,2,4,8,7,6] => [1,2,3,1,1]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [5,1,4,3,2,8,6,7] => [1,2,1,2,2]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]] => [4,3,5,2,1,7,8,6] => [5,1,4,3,2,8,7,6] => [1,2,1,2,1,1]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [5,1,3,4,2,8,6,7] => [1,3,2,2]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [5,1,3,4,2,8,7,6] => [1,3,2,1,1]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [5,2,1,3,4,8,6,7] => [1,1,4,2]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [5,2,1,3,4,8,7,6] => [1,1,4,1,1]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]] => [2,4,5,3,1,8,7,6] => [5,2,1,4,3,8,6,7] => [1,1,2,2,2]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [5,2,1,4,3,8,7,6] => [1,1,2,2,1,1]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [5,3,2,1,4,8,6,7] => [1,1,1,3,2]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [5,3,2,1,4,8,7,6] => [1,1,1,3,1,1]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [5,2,3,1,4,8,6,7] => [1,2,3,2]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]] => [2,3,5,4,1,7,8,6] => [5,2,3,1,4,8,7,6] => [1,2,3,1,1]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [5,4,2,3,1,8,6,7] => [1,1,2,2,2]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [5,4,2,3,1,8,7,6] => [1,1,2,2,1,1]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [5,4,3,2,1,8,6,7] => [1,1,1,1,2,2]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [5,4,3,2,1,8,7,6] => [1,1,1,1,2,1,1]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]] => [2,4,3,5,1,8,7,6] => [5,2,4,3,1,8,6,7] => [1,2,1,2,2]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => [5,2,4,3,1,8,7,6] => [1,2,1,2,1,1]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]] => [3,2,4,5,1,8,7,6] => [5,3,2,4,1,8,6,7] => [1,1,2,2,2]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]] => [3,2,4,5,1,7,8,6] => [5,3,2,4,1,8,7,6] => [1,1,2,2,1,1]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [5,2,3,4,1,8,6,7] => [1,3,2,2]
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [5,2,3,4,1,8,7,6] => [1,3,2,1,1]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [1,5,2,3,4,8,6,7] => [2,4,2]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [1,5,2,3,4,8,7,6] => [2,4,1,1]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] => [1,4,5,3,2,8,7,6] => [1,5,2,4,3,8,6,7] => [2,2,2,2]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]] => [1,4,5,3,2,7,8,6] => [1,5,2,4,3,8,7,6] => [2,2,2,1,1]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] => [1,3,5,4,2,8,7,6] => [1,5,3,2,4,8,6,7] => [2,1,3,2]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [1,5,3,2,4,8,7,6] => [2,1,3,1,1]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [1,5,4,3,2,8,6,7] => [2,1,1,2,2]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]] => [1,4,3,5,2,7,8,6] => [1,5,4,3,2,8,7,6] => [2,1,1,2,1,1]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [1,5,3,4,2,8,6,7] => [2,2,2,2]
[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => [1,5,3,4,2,8,7,6] => [2,2,2,1,1]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] => [2,1,5,4,3,7,8,6] => [2,1,5,3,4,8,7,6] => [1,2,3,1,1]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]] => [2,1,4,5,3,7,8,6] => [2,1,5,4,3,8,7,6] => [1,2,1,2,1,1]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [1,2,5,3,4,8,6,7] => [3,3,2]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [1,2,5,3,4,8,7,6] => [3,3,1,1]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [1,2,5,4,3,8,6,7] => [3,1,2,2]
[[[[.,.],.],[[.,.],.]],[[.,.],.]] => [1,2,4,5,3,7,8,6] => [1,2,5,4,3,8,7,6] => [3,1,2,1,1]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]] => [2,3,1,5,4,7,8,6] => [3,2,1,5,4,8,7,6] => [1,1,2,2,1,1]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] => [1,3,2,5,4,8,7,6] => [1,3,2,5,4,8,6,7] => [2,2,2,2]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [1,3,2,5,4,8,7,6] => [2,2,2,1,1]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [2,1,3,5,4,8,6,7] => [1,3,2,2]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [2,1,3,5,4,8,7,6] => [1,3,2,1,1]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [1,2,3,5,4,8,6,7] => [4,2,2]
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [1,2,3,5,4,8,7,6] => [4,2,1,1]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [4,1,2,3,5,8,6,7] => [1,5,2]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [4,1,2,3,5,8,7,6] => [1,5,1,1]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6] => [4,1,3,2,5,8,6,7] => [1,2,3,2]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]] => [2,4,3,1,5,8,7,6] => [4,2,1,3,5,8,6,7] => [1,1,4,2]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]] => [2,4,3,1,5,7,8,6] => [4,2,1,3,5,8,7,6] => [1,1,4,1,1]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]] => [3,2,4,1,5,8,7,6] => [4,3,2,1,5,8,6,7] => [1,1,1,3,2]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [4,3,2,1,5,8,7,6] => [1,1,1,3,1,1]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [4,2,3,1,5,8,6,7] => [1,2,3,2]
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [4,2,3,1,5,8,7,6] => [1,2,3,1,1]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]] => [1,4,3,2,5,8,7,6] => [1,4,2,3,5,8,6,7] => [2,4,2]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]] => [1,4,3,2,5,7,8,6] => [1,4,2,3,5,8,7,6] => [2,4,1,1]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [1,4,3,2,5,8,6,7] => [2,1,3,2]
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [1,4,3,2,5,8,7,6] => [2,1,3,1,1]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] => [2,1,4,3,5,8,7,6] => [2,1,4,3,5,8,6,7] => [1,2,3,2]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [2,1,4,3,5,8,7,6] => [1,2,3,1,1]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [1,2,4,3,5,8,6,7] => [3,3,2]
[[[[[.,.],.],[.,.]],.],[[.,.],.]] => [1,2,4,3,5,7,8,6] => [1,2,4,3,5,8,7,6] => [3,3,1,1]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [3,1,2,4,5,8,6,7] => [1,5,2]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]] => [2,3,1,4,5,8,7,6] => [3,2,1,4,5,8,6,7] => [1,1,4,2]
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [3,2,1,4,5,8,7,6] => [1,1,4,1,1]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]] => [1,3,2,4,5,8,7,6] => [1,3,2,4,5,8,6,7] => [2,4,2]
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [1,3,2,4,5,8,7,6] => [2,4,1,1]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [2,1,3,4,5,8,6,7] => [1,5,2]
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [2,1,3,4,5,8,7,6] => [1,5,1,1]
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,6,7] => [6,2]
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [1,2,3,4,5,8,7,6] => [6,1,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [6,1,2,3,4,5,8,7] => [1,6,1]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [6,1,2,3,5,4,8,7] => [1,4,2,1]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [6,1,2,4,3,5,8,7] => [1,3,3,1]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [6,1,2,5,4,3,8,7] => [1,3,1,2,1]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [6,1,2,4,5,3,8,7] => [1,4,2,1]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [6,1,3,2,4,5,8,7] => [1,2,4,1]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [6,1,3,2,5,4,8,7] => [1,2,2,2,1]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [6,1,4,3,2,5,8,7] => [1,2,1,3,1]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [6,1,3,4,2,5,8,7] => [1,3,3,1]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => [6,1,5,3,4,2,8,7] => [1,2,2,2,1]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [6,1,5,4,3,2,8,7] => [1,2,1,1,2,1]
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]] => [3,5,4,6,2,1,8,7] => [6,1,3,5,4,2,8,7] => [1,3,1,2,1]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [6,1,4,3,5,2,8,7] => [1,2,2,2,1]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [6,1,3,4,5,2,8,7] => [1,4,2,1]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [6,2,1,4,3,5,8,7] => [1,1,2,3,1]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]] => [2,5,4,6,3,1,8,7] => [6,2,1,5,4,3,8,7] => [1,1,2,1,2,1]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]] => [3,2,6,5,4,1,8,7] => [6,3,2,1,4,5,8,7] => [1,1,1,4,1]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [6,3,2,1,5,4,8,7] => [1,1,1,2,2,1]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [6,2,3,1,4,5,8,7] => [1,2,4,1]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [6,4,2,3,1,5,8,7] => [1,1,2,3,1]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [6,4,3,2,1,5,8,7] => [1,1,1,1,3,1]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [6,2,4,3,1,5,8,7] => [1,2,1,3,1]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]] => [3,2,4,6,5,1,8,7] => [6,3,2,4,1,5,8,7] => [1,1,2,3,1]
[[.,[[[[.,.],.],.],[.,.]]],[.,.]] => [2,3,4,6,5,1,8,7] => [6,2,3,4,1,5,8,7] => [1,3,3,1]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [6,5,2,3,4,1,8,7] => [1,1,3,2,1]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [6,5,2,4,3,1,8,7] => [1,1,2,1,2,1]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => [6,5,3,2,4,1,8,7] => [1,1,1,2,2,1]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [6,5,4,3,2,1,8,7] => [1,1,1,1,1,2,1]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [6,5,3,4,2,1,8,7] => [1,1,2,1,2,1]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] => [2,5,4,3,6,1,8,7] => [6,2,5,3,4,1,8,7] => [1,2,2,2,1]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]] => [2,4,5,3,6,1,8,7] => [6,2,5,4,3,1,8,7] => [1,2,1,1,2,1]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [6,3,2,5,4,1,8,7] => [1,1,2,1,2,1]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [6,4,2,3,5,1,8,7] => [1,1,3,2,1]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]] => [3,4,2,5,6,1,8,7] => [6,4,3,2,5,1,8,7] => [1,1,1,2,2,1]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]] => [2,4,3,5,6,1,8,7] => [6,2,4,3,5,1,8,7] => [1,2,2,2,1]
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [6,2,3,4,5,1,8,7] => [1,4,2,1]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [1,6,2,3,4,5,8,7] => [2,5,1]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] => [1,5,6,4,3,2,8,7] => [1,6,2,3,5,4,8,7] => [2,3,2,1]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [1,6,2,5,4,3,8,7] => [2,2,1,2,1]
[[[.,.],[.,[[[.,.],.],.]]],[.,.]] => [1,4,5,6,3,2,8,7] => [1,6,2,4,5,3,8,7] => [2,3,2,1]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] => [1,3,6,5,4,2,8,7] => [1,6,3,2,4,5,8,7] => [2,1,4,1]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]] => [1,3,5,6,4,2,8,7] => [1,6,3,2,5,4,8,7] => [2,1,2,2,1]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]] => [1,3,4,6,5,2,8,7] => [1,6,3,4,2,5,8,7] => [2,2,3,1]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [2,1,6,3,4,5,8,7] => [1,2,4,1]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [2,1,6,3,5,4,8,7] => [1,2,2,2,1]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [2,1,6,4,3,5,8,7] => [1,2,1,3,1]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [2,1,6,5,4,3,8,7] => [1,2,1,1,2,1]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [2,1,6,4,5,3,8,7] => [1,2,2,2,1]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]] => [1,2,6,5,4,3,8,7] => [1,2,6,3,4,5,8,7] => [3,4,1]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]] => [1,2,4,6,5,3,8,7] => [1,2,6,4,3,5,8,7] => [3,1,3,1]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [1,2,5,4,6,3,8,7] => [1,2,6,5,4,3,8,7] => [3,1,1,2,1]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]] => [3,2,1,6,5,4,8,7] => [3,1,2,6,4,5,8,7] => [1,3,3,1]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [3,2,1,6,4,5,8,7] => [1,1,2,3,1]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]] => [2,3,1,5,6,4,8,7] => [3,2,1,6,5,4,8,7] => [1,1,2,1,2,1]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]] => [1,3,2,5,6,4,8,7] => [1,3,2,6,5,4,8,7] => [2,2,1,2,1]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] => [2,1,3,6,5,4,8,7] => [2,1,3,6,4,5,8,7] => [1,3,3,1]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [1,2,3,6,4,5,8,7] => [4,3,1]
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [1,2,3,6,5,4,8,7] => [4,1,2,1]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [4,1,2,3,6,5,8,7] => [1,4,2,1]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [4,1,3,2,6,5,8,7] => [1,2,2,2,1]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [4,2,1,3,6,5,8,7] => [1,1,3,2,1]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [4,3,2,1,6,5,8,7] => [1,1,1,2,2,1]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [4,2,3,1,6,5,8,7] => [1,2,2,2,1]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]] => [1,4,3,2,6,5,8,7] => [1,4,2,3,6,5,8,7] => [2,3,2,1]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [1,4,3,2,6,5,8,7] => [2,1,2,2,1]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [2,1,4,3,6,5,8,7] => [1,2,2,2,1]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [1,2,4,3,6,5,8,7] => [3,2,2,1]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]] => [3,2,1,4,6,5,8,7] => [3,1,2,4,6,5,8,7] => [1,4,2,1]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]] => [2,3,1,4,6,5,8,7] => [3,2,1,4,6,5,8,7] => [1,1,3,2,1]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [1,3,2,4,6,5,8,7] => [2,3,2,1]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]] => [2,1,3,4,6,5,8,7] => [2,1,3,4,6,5,8,7] => [1,4,2,1]
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [1,2,3,4,6,5,8,7] => [5,2,1]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [5,1,2,3,4,6,8,7] => [1,6,1]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [5,1,2,4,3,6,8,7] => [1,3,3,1]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [5,1,3,2,4,6,8,7] => [1,2,4,1]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [5,1,4,3,2,6,8,7] => [1,2,1,3,1]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [5,1,3,4,2,6,8,7] => [1,3,3,1]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [5,2,1,4,3,6,8,7] => [1,1,2,3,1]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] => [3,2,5,4,1,6,8,7] => [5,3,2,1,4,6,8,7] => [1,1,1,4,1]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [5,2,3,1,4,6,8,7] => [1,2,4,1]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]] => [4,3,2,5,1,6,8,7] => [5,4,2,3,1,6,8,7] => [1,1,2,3,1]
[[[.,[[.,[[.,.],.]],.]],.],[.,.]] => [3,4,2,5,1,6,8,7] => [5,4,3,2,1,6,8,7] => [1,1,1,1,3,1]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]] => [2,4,3,5,1,6,8,7] => [5,2,4,3,1,6,8,7] => [1,2,1,3,1]
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [5,2,3,4,1,6,8,7] => [1,3,3,1]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]] => [1,5,4,3,2,6,8,7] => [1,5,2,3,4,6,8,7] => [2,5,1]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]] => [1,4,5,3,2,6,8,7] => [1,5,2,4,3,6,8,7] => [2,2,3,1]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [1,5,3,2,4,6,8,7] => [2,1,4,1]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]] => [1,4,3,5,2,6,8,7] => [1,5,4,3,2,6,8,7] => [2,1,1,3,1]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [2,1,5,3,4,6,8,7] => [1,2,4,1]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [2,1,5,4,3,6,8,7] => [1,2,1,3,1]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [1,2,5,3,4,6,8,7] => [3,4,1]
[[[[[.,.],.],[[.,.],.]],.],[.,.]] => [1,2,4,5,3,6,8,7] => [1,2,5,4,3,6,8,7] => [3,1,3,1]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]] => [3,2,1,5,4,6,8,7] => [3,1,2,5,4,6,8,7] => [1,3,3,1]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]] => [1,3,2,5,4,6,8,7] => [1,3,2,5,4,6,8,7] => [2,2,3,1]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [2,1,3,5,4,6,8,7] => [1,3,3,1]
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [1,2,3,5,4,6,8,7] => [4,3,1]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [4,1,2,3,5,6,8,7] => [1,6,1]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [4,1,3,2,5,6,8,7] => [1,2,4,1]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]] => [2,4,3,1,5,6,8,7] => [4,2,1,3,5,6,8,7] => [1,1,5,1]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [4,3,2,1,5,6,8,7] => [1,1,1,4,1]
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [4,2,3,1,5,6,8,7] => [1,2,4,1]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [1,4,2,3,5,6,8,7] => [2,5,1]
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [1,4,3,2,5,6,8,7] => [2,1,4,1]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [2,1,4,3,5,6,8,7] => [1,2,4,1]
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [1,2,4,3,5,6,8,7] => [3,4,1]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [3,1,2,4,5,6,8,7] => [1,6,1]
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [3,2,1,4,5,6,8,7] => [1,1,5,1]
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [1,3,2,4,5,6,8,7] => [2,5,1]
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [2,1,3,4,5,6,8,7] => [1,6,1]
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => [7,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,1,2,3,4,5,6,8] => [1,7]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,1,2,3,4,6,5,8] => [1,5,2]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [7,1,2,3,5,4,6,8] => [1,4,3]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,1,2,3,6,5,4,8] => [1,4,1,2]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [7,1,2,3,5,6,4,8] => [1,5,2]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [7,1,2,4,3,5,6,8] => [1,3,4]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] => [4,6,7,5,3,2,1,8] => [7,1,2,4,3,6,5,8] => [1,3,2,2]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [7,1,2,4,5,3,6,8] => [1,4,3]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,1,2,6,4,5,3,8] => [1,3,2,2]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => [7,1,2,6,5,4,3,8] => [1,3,1,1,2]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [7,1,2,5,4,6,3,8] => [1,3,2,2]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,1,2,4,5,6,3,8] => [1,5,2]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.] => [3,7,6,5,4,2,1,8] => [7,1,3,2,4,5,6,8] => [1,2,5]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [7,1,3,2,5,4,6,8] => [1,2,2,3]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.] => [3,5,6,7,4,2,1,8] => [7,1,3,2,5,6,4,8] => [1,2,3,2]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [7,1,4,3,2,5,6,8] => [1,2,1,4]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [7,1,3,4,2,5,6,8] => [1,3,4]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.] => [3,5,4,7,6,2,1,8] => [7,1,3,5,4,2,6,8] => [1,3,1,3]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => [7,1,4,3,5,2,6,8] => [1,2,2,3]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [7,1,6,3,4,5,2,8] => [1,2,3,2]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [7,1,6,3,5,4,2,8] => [1,2,2,1,2]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [7,1,6,5,4,3,2,8] => [1,2,1,1,1,2]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [7,1,3,6,4,5,2,8] => [1,3,2,2]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.] => [3,5,6,4,7,2,1,8] => [7,1,3,6,5,4,2,8] => [1,3,1,1,2]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.] => [4,5,3,6,7,2,1,8] => [7,1,5,4,3,6,2,8] => [1,2,1,2,2]
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [7,1,3,4,5,6,2,8] => [1,5,2]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [7,2,1,3,4,5,6,8] => [1,1,6]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => [7,2,1,3,5,4,6,8] => [1,1,3,3]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.] => [2,4,7,6,5,3,1,8] => [7,2,1,4,3,5,6,8] => [1,1,2,4]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [7,2,1,4,3,6,5,8] => [1,1,2,2,2]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.] => [2,5,4,7,6,3,1,8] => [7,2,1,5,4,3,6,8] => [1,1,2,1,3]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.] => [2,4,5,7,6,3,1,8] => [7,2,1,4,5,3,6,8] => [1,1,3,3]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.] => [2,5,6,4,7,3,1,8] => [7,2,1,6,5,4,3,8] => [1,1,2,1,1,2]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [7,2,1,5,4,6,3,8] => [1,1,2,2,2]
[[.,[[.,.],[[[[.,.],.],.],.]]],.] => [2,4,5,6,7,3,1,8] => [7,2,1,4,5,6,3,8] => [1,1,4,2]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [7,3,2,1,4,5,6,8] => [1,1,1,5]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => [7,3,2,1,4,6,5,8] => [1,1,1,3,2]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] => [3,2,5,7,6,4,1,8] => [7,3,2,1,5,4,6,8] => [1,1,1,2,3]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [7,3,2,1,6,5,4,8] => [1,1,1,2,1,2]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [7,3,2,1,5,6,4,8] => [1,1,1,3,2]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [7,2,3,1,4,5,6,8] => [1,2,5]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.] => [2,3,6,7,5,4,1,8] => [7,2,3,1,4,6,5,8] => [1,2,3,2]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [7,2,3,1,6,5,4,8] => [1,2,2,1,2]
[[.,[[[.,.],.],[[[.,.],.],.]]],.] => [2,3,5,6,7,4,1,8] => [7,2,3,1,5,6,4,8] => [1,2,3,2]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.] => [4,3,2,7,6,5,1,8] => [7,4,2,3,1,5,6,8] => [1,1,2,4]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.] => [4,3,2,6,7,5,1,8] => [7,4,2,3,1,6,5,8] => [1,1,2,2,2]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] => [3,4,2,7,6,5,1,8] => [7,4,3,2,1,5,6,8] => [1,1,1,1,4]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.] => [3,4,2,6,7,5,1,8] => [7,4,3,2,1,6,5,8] => [1,1,1,1,2,2]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.] => [2,4,3,7,6,5,1,8] => [7,2,4,3,1,5,6,8] => [1,2,1,4]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.] => [3,2,4,7,6,5,1,8] => [7,3,2,4,1,5,6,8] => [1,1,2,4]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [7,3,2,4,1,6,5,8] => [1,1,2,2,2]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [7,2,3,4,1,5,6,8] => [1,3,4]
[[.,[[[[.,.],.],.],[[.,.],.]]],.] => [2,3,4,6,7,5,1,8] => [7,2,3,4,1,6,5,8] => [1,3,2,2]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [7,5,2,3,4,1,6,8] => [1,1,3,3]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => [7,5,2,4,3,1,6,8] => [1,1,2,1,3]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [7,5,3,2,4,1,6,8] => [1,1,1,2,3]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [7,5,4,3,2,1,6,8] => [1,1,1,1,1,3]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.] => [3,4,5,2,7,6,1,8] => [7,5,3,4,2,1,6,8] => [1,1,2,1,3]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.] => [2,5,4,3,7,6,1,8] => [7,2,5,3,4,1,6,8] => [1,2,2,3]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [7,3,2,5,4,1,6,8] => [1,1,2,1,3]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.] => [2,3,5,4,7,6,1,8] => [7,2,3,5,4,1,6,8] => [1,3,1,3]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] => [4,3,2,5,7,6,1,8] => [7,4,2,3,5,1,6,8] => [1,1,3,3]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [7,4,3,2,5,1,6,8] => [1,1,1,2,3]
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [7,2,3,4,5,1,6,8] => [1,4,3]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,6,2,3,4,5,1,8] => [1,1,4,2]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [7,6,2,3,5,4,1,8] => [1,1,3,1,2]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] => [5,4,6,3,2,7,1,8] => [7,6,2,5,4,3,1,8] => [1,1,2,1,1,2]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] => [3,6,5,4,2,7,1,8] => [7,6,3,2,4,5,1,8] => [1,1,1,3,2]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.] => [3,5,6,4,2,7,1,8] => [7,6,3,2,5,4,1,8] => [1,1,1,2,1,2]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.] => [4,3,6,5,2,7,1,8] => [7,6,4,3,2,5,1,8] => [1,1,1,1,2,2]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,6,5,3,4,2,1,8] => [1,1,1,2,1,2]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,2]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [7,6,3,5,4,2,1,8] => [1,1,2,1,1,2]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => [7,6,4,3,5,2,1,8] => [1,1,1,2,1,2]
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,6,3,4,5,2,1,8] => [1,1,3,1,2]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.] => [2,6,5,4,3,7,1,8] => [7,2,6,3,4,5,1,8] => [1,2,3,2]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.] => [2,4,6,5,3,7,1,8] => [7,2,6,4,3,5,1,8] => [1,2,1,2,2]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [7,2,6,5,4,3,1,8] => [1,2,1,1,1,2]
[[.,[[[.,.],[[[.,.],.],.]],.]],.] => [2,4,5,6,3,7,1,8] => [7,2,6,4,5,3,1,8] => [1,2,2,1,2]
[[.,[[[[.,.],.],[[.,.],.]],.]],.] => [2,3,5,6,4,7,1,8] => [7,2,3,6,5,4,1,8] => [1,3,1,1,2]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] => [4,3,2,6,5,7,1,8] => [7,4,2,3,6,5,1,8] => [1,1,3,1,2]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [7,4,3,2,6,5,1,8] => [1,1,1,2,1,2]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.] => [2,4,3,6,5,7,1,8] => [7,2,4,3,6,5,1,8] => [1,2,2,1,2]
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [7,2,3,4,6,5,1,8] => [1,4,1,2]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [7,5,2,3,4,6,1,8] => [1,1,4,2]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.] => [4,5,3,2,6,7,1,8] => [7,5,2,4,3,6,1,8] => [1,1,2,2,2]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.] => [3,5,4,2,6,7,1,8] => [7,5,3,2,4,6,1,8] => [1,1,1,3,2]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.] => [4,3,5,2,6,7,1,8] => [7,5,4,3,2,6,1,8] => [1,1,1,1,2,2]
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,5,3,4,2,6,1,8] => [1,1,2,2,2]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.] => [2,5,4,3,6,7,1,8] => [7,2,5,3,4,6,1,8] => [1,2,3,2]
[[.,[[[[.,.],[[.,.],.]],.],.]],.] => [2,4,5,3,6,7,1,8] => [7,2,5,4,3,6,1,8] => [1,2,1,2,2]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.] => [3,2,5,4,6,7,1,8] => [7,3,2,5,4,6,1,8] => [1,1,2,2,2]
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [7,2,3,5,4,6,1,8] => [1,3,2,2]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [7,4,2,3,5,6,1,8] => [1,1,4,2]
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [7,4,3,2,5,6,1,8] => [1,1,1,3,2]
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [7,3,2,4,5,6,1,8] => [1,1,4,2]
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [1,5,2]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [1,7,2,3,4,5,6,8] => [2,6]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => [1,7,2,3,4,6,5,8] => [2,4,2]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.] => [1,5,7,6,4,3,2,8] => [1,7,2,3,5,4,6,8] => [2,3,3]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.] => [1,5,6,7,4,3,2,8] => [1,7,2,3,5,6,4,8] => [2,4,2]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [1,7,2,4,3,5,6,8] => [2,2,4]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [1,7,2,5,4,3,6,8] => [2,2,1,3]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.] => [1,4,5,7,6,3,2,8] => [1,7,2,4,5,3,6,8] => [2,3,3]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.] => [1,5,6,4,7,3,2,8] => [1,7,2,6,5,4,3,8] => [2,2,1,1,2]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [1,7,2,4,6,5,3,8] => [2,3,1,2]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.] => [1,5,4,6,7,3,2,8] => [1,7,2,5,4,6,3,8] => [2,2,2,2]
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [1,7,2,4,5,6,3,8] => [2,4,2]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [1,7,3,2,4,5,6,8] => [2,1,5]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [1,7,3,2,4,6,5,8] => [2,1,3,2]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [1,7,3,2,5,4,6,8] => [2,1,2,3]
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [1,7,3,2,5,6,4,8] => [2,1,3,2]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.] => [1,4,3,7,6,5,2,8] => [1,7,4,3,2,5,6,8] => [2,1,1,4]
[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => [1,7,3,4,2,6,5,8] => [2,2,2,2]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.] => [1,4,5,3,7,6,2,8] => [1,7,5,4,3,2,6,8] => [2,1,1,1,3]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [1,7,3,5,4,2,6,8] => [2,2,1,3]
[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => [1,7,3,4,5,2,6,8] => [2,3,3]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.] => [1,6,5,4,3,7,2,8] => [1,7,6,3,4,5,2,8] => [2,1,3,2]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.] => [1,5,6,4,3,7,2,8] => [1,7,6,3,5,4,2,8] => [2,1,2,1,2]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [1,7,6,5,4,3,2,8] => [2,1,1,1,1,2]
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [1,7,6,4,5,3,2,8] => [2,1,2,1,2]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [1,7,3,6,4,5,2,8] => [2,2,2,2]
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [1,7,3,6,5,4,2,8] => [2,2,1,1,2]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [1,7,4,3,6,5,2,8] => [2,1,2,1,2]
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [1,7,3,4,6,5,2,8] => [2,3,1,2]
[[[.,.],[[[.,[[.,.],.]],.],.]],.] => [1,4,5,3,6,7,2,8] => [1,7,5,4,3,6,2,8] => [2,1,1,2,2]
[[[.,.],[[[[.,.],[.,.]],.],.]],.] => [1,3,5,4,6,7,2,8] => [1,7,3,5,4,6,2,8] => [2,2,2,2]
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => [2,4,2]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [2,1,7,3,4,5,6,8] => [1,2,5]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [2,1,7,3,4,6,5,8] => [1,2,3,2]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.] => [2,1,6,5,4,7,3,8] => [2,1,7,6,4,5,3,8] => [1,2,1,2,2]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.] => [2,1,5,6,4,7,3,8] => [2,1,7,6,5,4,3,8] => [1,2,1,1,1,2]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [1,2,7,3,4,5,6,8] => [3,5]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.] => [1,2,6,7,5,4,3,8] => [1,2,7,3,4,6,5,8] => [3,3,2]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.] => [1,2,5,7,6,4,3,8] => [1,2,7,3,5,4,6,8] => [3,2,3]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.] => [1,2,4,7,6,5,3,8] => [1,2,7,4,3,5,6,8] => [3,1,4]
[[[[.,.],.],[[.,.],[[.,.],.]]],.] => [1,2,4,6,7,5,3,8] => [1,2,7,4,3,6,5,8] => [3,1,2,2]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.] => [1,2,5,4,7,6,3,8] => [1,2,7,5,4,3,6,8] => [3,1,1,3]
[[[[.,.],.],[[[.,.],.],[.,.]]],.] => [1,2,4,5,7,6,3,8] => [1,2,7,4,5,3,6,8] => [3,2,3]
[[[[.,.],.],[[.,[[.,.],.]],.]],.] => [1,2,5,6,4,7,3,8] => [1,2,7,6,5,4,3,8] => [3,1,1,1,2]
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [1,2,7,4,6,5,3,8] => [3,2,1,2]
[[[[.,.],.],[[[.,[.,.]],.],.]],.] => [1,2,5,4,6,7,3,8] => [1,2,7,5,4,6,3,8] => [3,1,2,2]
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [1,2,7,4,5,6,3,8] => [3,3,2]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [3,1,2,7,4,5,6,8] => [1,3,4]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [3,1,2,7,5,4,6,8] => [1,3,1,3]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [3,1,2,7,6,5,4,8] => [1,3,1,1,2]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [3,1,2,7,5,6,4,8] => [1,3,2,2]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.] => [2,3,1,6,7,5,4,8] => [3,2,1,7,4,6,5,8] => [1,1,2,2,2]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [3,2,1,7,6,5,4,8] => [1,1,2,1,1,2]
[[[.,[[.,.],.]],[[[.,.],.],.]],.] => [2,3,1,5,6,7,4,8] => [3,2,1,7,5,6,4,8] => [1,1,2,2,2]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [1,3,2,7,4,5,6,8] => [2,2,4]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.] => [1,3,2,6,7,5,4,8] => [1,3,2,7,4,6,5,8] => [2,2,2,2]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [1,3,2,7,5,4,6,8] => [2,2,1,3]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.] => [1,3,2,6,5,7,4,8] => [1,3,2,7,6,5,4,8] => [2,2,1,1,2]
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [1,3,2,7,5,6,4,8] => [2,2,2,2]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.] => [2,1,3,7,6,5,4,8] => [2,1,3,7,4,5,6,8] => [1,3,4]
[[[[.,[.,.]],.],[[.,[.,.]],.]],.] => [2,1,3,6,5,7,4,8] => [2,1,3,7,6,5,4,8] => [1,3,1,1,2]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [1,2,3,7,4,5,6,8] => [4,4]
[[[[[.,.],.],.],[.,[[.,.],.]]],.] => [1,2,3,6,7,5,4,8] => [1,2,3,7,4,6,5,8] => [4,2,2]
[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => [1,2,3,7,5,4,6,8] => [4,1,3]
[[[[[.,.],.],.],[[.,[.,.]],.]],.] => [1,2,3,6,5,7,4,8] => [1,2,3,7,6,5,4,8] => [4,1,1,2]
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [1,2,3,7,5,6,4,8] => [4,2,2]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [4,1,2,3,7,5,6,8] => [1,4,3]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [4,1,2,3,7,6,5,8] => [1,4,1,2]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] => [3,2,4,1,7,6,5,8] => [4,3,2,1,7,5,6,8] => [1,1,1,2,3]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [4,3,2,1,7,6,5,8] => [1,1,1,2,1,2]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.] => [2,3,4,1,7,6,5,8] => [4,2,3,1,7,5,6,8] => [1,2,2,3]
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [4,2,3,1,7,6,5,8] => [1,2,2,1,2]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [1,4,2,3,7,5,6,8] => [2,3,3]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [1,4,2,3,7,6,5,8] => [2,3,1,2]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.] => [1,3,4,2,7,6,5,8] => [1,4,3,2,7,5,6,8] => [2,1,2,3]
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [1,4,3,2,7,6,5,8] => [2,1,2,1,2]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.] => [1,2,4,3,7,6,5,8] => [1,2,4,3,7,5,6,8] => [3,2,3]
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [1,2,4,3,7,6,5,8] => [3,2,1,2]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [3,1,2,4,7,5,6,8] => [1,4,3]
[[[[.,[[.,.],.]],.],[[.,.],.]],.] => [2,3,1,4,6,7,5,8] => [3,2,1,4,7,6,5,8] => [1,1,3,1,2]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.] => [1,3,2,4,7,6,5,8] => [1,3,2,4,7,5,6,8] => [2,3,3]
[[[[[.,.],[.,.]],.],[[.,.],.]],.] => [1,3,2,4,6,7,5,8] => [1,3,2,4,7,6,5,8] => [2,3,1,2]
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [1,2,3,4,7,5,6,8] => [5,3]
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [1,2,3,4,7,6,5,8] => [5,1,2]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [5,1,2,3,4,7,6,8] => [1,5,2]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] => [4,5,3,2,1,7,6,8] => [5,1,2,4,3,7,6,8] => [1,3,2,2]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] => [3,5,4,2,1,7,6,8] => [5,1,3,2,4,7,6,8] => [1,2,3,2]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.] => [4,3,5,2,1,7,6,8] => [5,1,4,3,2,7,6,8] => [1,2,1,2,2]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.] => [3,4,5,2,1,7,6,8] => [5,1,3,4,2,7,6,8] => [1,3,2,2]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.] => [2,4,5,3,1,7,6,8] => [5,2,1,4,3,7,6,8] => [1,1,2,2,2]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] => [3,2,5,4,1,7,6,8] => [5,3,2,1,4,7,6,8] => [1,1,1,3,2]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [5,2,3,1,4,7,6,8] => [1,2,3,2]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.] => [4,3,2,5,1,7,6,8] => [5,4,2,3,1,7,6,8] => [1,1,2,2,2]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [5,4,3,2,1,7,6,8] => [1,1,1,1,2,2]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.] => [2,4,3,5,1,7,6,8] => [5,2,4,3,1,7,6,8] => [1,2,1,2,2]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.] => [3,2,4,5,1,7,6,8] => [5,3,2,4,1,7,6,8] => [1,1,2,2,2]
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [5,2,3,4,1,7,6,8] => [1,3,2,2]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [1,5,2,3,4,7,6,8] => [2,4,2]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.] => [1,4,5,3,2,7,6,8] => [1,5,2,4,3,7,6,8] => [2,2,2,2]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [1,5,3,2,4,7,6,8] => [2,1,3,2]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.] => [1,4,3,5,2,7,6,8] => [1,5,4,3,2,7,6,8] => [2,1,1,2,2]
[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => [1,5,3,4,2,7,6,8] => [2,2,2,2]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.] => [1,2,5,4,3,7,6,8] => [1,2,5,3,4,7,6,8] => [3,3,2]
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [1,2,5,4,3,7,6,8] => [3,1,2,2]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [3,1,2,5,4,7,6,8] => [1,3,2,2]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [3,2,1,5,4,7,6,8] => [1,1,2,2,2]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => [2,2,2,2]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.] => [2,1,3,5,4,7,6,8] => [2,1,3,5,4,7,6,8] => [1,3,2,2]
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => [4,2,2]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [4,1,2,3,5,7,6,8] => [1,5,2]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.] => [3,4,2,1,5,7,6,8] => [4,1,3,2,5,7,6,8] => [1,2,3,2]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.] => [2,4,3,1,5,7,6,8] => [4,2,1,3,5,7,6,8] => [1,1,4,2]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.] => [3,2,4,1,5,7,6,8] => [4,3,2,1,5,7,6,8] => [1,1,1,3,2]
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [4,2,3,1,5,7,6,8] => [1,2,3,2]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.] => [1,4,3,2,5,7,6,8] => [1,4,2,3,5,7,6,8] => [2,4,2]
[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => [1,4,3,2,5,7,6,8] => [2,1,3,2]
[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => [1,2,4,3,5,7,6,8] => [3,3,2]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [3,1,2,4,5,7,6,8] => [1,5,2]
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [3,2,1,4,5,7,6,8] => [1,1,4,2]
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => [2,4,2]
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [2,1,3,4,5,7,6,8] => [1,5,2]
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => [6,2]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,1,2,3,4,5,7,8] => [1,7]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [6,1,2,3,5,4,7,8] => [1,4,3]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,1,2,5,4,3,7,8] => [1,3,1,3]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [6,1,2,4,5,3,7,8] => [1,4,3]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [6,1,5,3,4,2,7,8] => [1,2,2,3]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.] => [3,5,4,6,2,1,7,8] => [6,1,3,5,4,2,7,8] => [1,3,1,3]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.] => [4,3,5,6,2,1,7,8] => [6,1,4,3,5,2,7,8] => [1,2,2,3]
[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => [6,1,3,4,5,2,7,8] => [1,4,3]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [6,2,1,4,3,5,7,8] => [1,1,2,4]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.] => [2,5,4,6,3,1,7,8] => [6,2,1,5,4,3,7,8] => [1,1,2,1,3]
[[[.,[[.,.],[[[.,.],.],.]]],.],.] => [2,4,5,6,3,1,7,8] => [6,2,1,4,5,3,7,8] => [1,1,3,3]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.] => [2,3,6,5,4,1,7,8] => [6,2,3,1,4,5,7,8] => [1,2,5]
[[[.,[[[.,.],.],[[.,.],.]]],.],.] => [2,3,5,6,4,1,7,8] => [6,2,3,1,5,4,7,8] => [1,2,2,3]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.] => [3,4,2,6,5,1,7,8] => [6,4,3,2,1,5,7,8] => [1,1,1,1,4]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.] => [2,4,3,6,5,1,7,8] => [6,2,4,3,1,5,7,8] => [1,2,1,4]
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [6,2,3,4,1,5,7,8] => [1,3,4]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,5,2,3,4,1,7,8] => [1,1,3,3]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [6,5,2,4,3,1,7,8] => [1,1,2,1,3]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.] => [3,5,4,2,6,1,7,8] => [6,5,3,2,4,1,7,8] => [1,1,1,2,3]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,5,4,3,2,1,7,8] => [1,1,1,1,1,3]
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,5,3,4,2,1,7,8] => [1,1,2,1,3]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.] => [2,5,4,3,6,1,7,8] => [6,2,5,3,4,1,7,8] => [1,2,2,3]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.] => [3,2,5,4,6,1,7,8] => [6,3,2,5,4,1,7,8] => [1,1,2,1,3]
[[[.,[[[[.,.],.],[.,.]],.]],.],.] => [2,3,5,4,6,1,7,8] => [6,2,3,5,4,1,7,8] => [1,3,1,3]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => [6,4,2,3,5,1,7,8] => [1,1,3,3]
[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => [6,4,3,2,5,1,7,8] => [1,1,1,2,3]
[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => [6,3,2,4,5,1,7,8] => [1,1,3,3]
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,2,3,4,5,1,7,8] => [1,4,3]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [1,6,2,3,4,5,7,8] => [2,6]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [1,6,2,3,5,4,7,8] => [2,3,3]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.] => [1,4,6,5,3,2,7,8] => [1,6,2,4,3,5,7,8] => [2,2,4]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [1,6,2,5,4,3,7,8] => [2,2,1,3]
[[[[.,.],[.,[[[.,.],.],.]]],.],.] => [1,4,5,6,3,2,7,8] => [1,6,2,4,5,3,7,8] => [2,3,3]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.] => [1,3,6,5,4,2,7,8] => [1,6,3,2,4,5,7,8] => [2,1,5]
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [1,6,3,2,5,4,7,8] => [2,1,2,3]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [1,6,4,3,2,5,7,8] => [2,1,1,4]
[[[[.,.],[[[.,.],.],[.,.]]],.],.] => [1,3,4,6,5,2,7,8] => [1,6,3,4,2,5,7,8] => [2,2,4]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.] => [1,5,4,3,6,2,7,8] => [1,6,5,3,4,2,7,8] => [2,1,2,3]
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [1,6,5,4,3,2,7,8] => [2,1,1,1,3]
[[[[.,.],[[[.,.],[.,.]],.]],.],.] => [1,3,5,4,6,2,7,8] => [1,6,3,5,4,2,7,8] => [2,2,1,3]
[[[[.,.],[[[.,[.,.]],.],.]],.],.] => [1,4,3,5,6,2,7,8] => [1,6,4,3,5,2,7,8] => [2,1,2,3]
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [1,6,3,4,5,2,7,8] => [2,3,3]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [2,1,6,3,5,4,7,8] => [1,2,2,3]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [2,1,6,4,3,5,7,8] => [1,2,1,4]
[[[[.,[.,.]],[[[.,.],.],.]],.],.] => [2,1,4,5,6,3,7,8] => [2,1,6,4,5,3,7,8] => [1,2,2,3]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [1,2,6,3,4,5,7,8] => [3,5]
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [1,2,6,3,5,4,7,8] => [3,2,3]
[[[[[.,.],.],[[.,.],[.,.]]],.],.] => [1,2,4,6,5,3,7,8] => [1,2,6,4,3,5,7,8] => [3,1,4]
[[[[[.,.],.],[[.,[.,.]],.]],.],.] => [1,2,5,4,6,3,7,8] => [1,2,6,5,4,3,7,8] => [3,1,1,3]
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [1,2,6,4,5,3,7,8] => [3,2,3]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [3,1,2,6,4,5,7,8] => [1,3,4]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [3,1,2,6,5,4,7,8] => [1,3,1,3]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.] => [2,3,1,6,5,4,7,8] => [3,2,1,6,4,5,7,8] => [1,1,2,4]
[[[[.,[[.,.],.]],[[.,.],.]],.],.] => [2,3,1,5,6,4,7,8] => [3,2,1,6,5,4,7,8] => [1,1,2,1,3]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.] => [1,3,2,6,5,4,7,8] => [1,3,2,6,4,5,7,8] => [2,2,4]
[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => [1,3,2,6,5,4,7,8] => [2,2,1,3]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.] => [2,1,3,6,5,4,7,8] => [2,1,3,6,4,5,7,8] => [1,3,4]
[[[[[.,[.,.]],.],[[.,.],.]],.],.] => [2,1,3,5,6,4,7,8] => [2,1,3,6,5,4,7,8] => [1,3,1,3]
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [1,2,3,6,4,5,7,8] => [4,4]
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [1,2,3,6,5,4,7,8] => [4,1,3]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [4,1,2,3,6,5,7,8] => [1,4,3]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.] => [2,4,3,1,6,5,7,8] => [4,2,1,3,6,5,7,8] => [1,1,3,3]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [4,3,2,1,6,5,7,8] => [1,1,1,2,3]
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [4,2,3,1,6,5,7,8] => [1,2,2,3]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.] => [1,4,3,2,6,5,7,8] => [1,4,2,3,6,5,7,8] => [2,3,3]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [2,1,4,3,6,5,7,8] => [1,2,2,3]
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => [3,2,3]
[[[[[.,[[.,.],.]],.],[.,.]],.],.] => [2,3,1,4,6,5,7,8] => [3,2,1,4,6,5,7,8] => [1,1,3,3]
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [1,3,2,4,6,5,7,8] => [2,3,3]
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [2,1,3,4,6,5,7,8] => [1,4,3]
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [1,2,3,4,6,5,7,8] => [5,3]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,1,2,3,4,6,7,8] => [1,7]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [5,1,2,4,3,6,7,8] => [1,3,4]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [5,1,3,2,4,6,7,8] => [1,2,5]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,1,4,3,2,6,7,8] => [1,2,1,4]
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [5,1,3,4,2,6,7,8] => [1,3,4]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [5,2,1,3,4,6,7,8] => [1,1,6]
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [5,2,1,4,3,6,7,8] => [1,1,2,4]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [5,3,2,1,4,6,7,8] => [1,1,1,5]
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [5,2,3,1,4,6,7,8] => [1,2,5]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,4,2,3,1,6,7,8] => [1,1,2,4]
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,4,3,2,1,6,7,8] => [1,1,1,1,4]
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [5,2,4,3,1,6,7,8] => [1,2,1,4]
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,3,2,4,1,6,7,8] => [1,1,2,4]
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,2,3,4,1,6,7,8] => [1,3,4]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [1,5,2,3,4,6,7,8] => [2,6]
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [1,5,2,4,3,6,7,8] => [2,2,4]
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [1,5,3,2,4,6,7,8] => [2,1,5]
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [1,5,4,3,2,6,7,8] => [2,1,1,4]
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [1,5,3,4,2,6,7,8] => [2,2,4]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [2,1,5,3,4,6,7,8] => [1,2,5]
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [2,1,5,4,3,6,7,8] => [1,2,1,4]
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [1,2,5,3,4,6,7,8] => [3,5]
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [1,2,5,4,3,6,7,8] => [3,1,4]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [3,1,2,5,4,6,7,8] => [1,3,4]
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [3,2,1,5,4,6,7,8] => [1,1,2,4]
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => [2,2,4]
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [2,1,3,5,4,6,7,8] => [1,3,4]
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => [4,4]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => [1,7]
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,1,3,2,5,6,7,8] => [1,2,5]
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [4,2,1,3,5,6,7,8] => [1,1,6]
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => [1,1,1,5]
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => [1,2,5]
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [2,6]
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [1,4,3,2,5,6,7,8] => [2,1,5]
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [2,1,4,3,5,6,7,8] => [1,2,5]
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [3,5]
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => [1,7]
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => [1,1,6]
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [2,6]
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => [1,7]
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,1,2,3,4,5,6,7,8] => [1,8]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,1,2,3,4,5,6,8,7] => [1,7,1]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [9,1,2,3,4,5,7,8,6] => [1,7,1]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [9,1,2,3,4,6,7,8,5] => [1,7,1]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [9,1,3,4,5,6,7,8,2] => [1,7,1]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,2,3,4,5,6,7,8,1] => [1,7,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => [9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,7,8,9] => [1,9]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,7,9,8] => [1,8,1]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [9,1,2,3,4,5,7,6,8] => [1,6,2]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,8,9,7] => [1,8,1]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [10,1,2,3,4,5,7,8,9,6] => [1,8,1]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [10,1,2,3,4,6,7,8,9,5] => [1,8,1]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]] => [2,4,5,6,7,8,9,3,1] => [9,2,1,4,5,6,7,8,3] => [1,1,6,1]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [10,1,3,4,5,6,7,8,9,2] => [1,8,1]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [1,9,3,4,5,6,7,8,2] => [2,6,1]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,2,3,4,5,6,7,8,9,1] => [1,8,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => [10]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [9,1,2,3,4,5,8,7,6] => [1,6,1,1]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [9,1,2,3,4,8,6,7,5] => [1,5,2,1]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,1,2,3,8,5,6,7,4] => [1,4,3,1]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [9,1,2,8,4,5,6,7,3] => [1,3,4,1]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,1,8,3,4,5,6,7,2] => [1,2,5,1]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,8,2,3,4,5,6,7,1] => [1,1,6,1]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,1,2,3,4,5,6,7,9] => [1,8]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,1,2,3,4,5,6,9,8,7] => [1,7,1,1]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [10,1,2,3,4,5,9,7,8,6] => [1,6,2,1]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [10,1,2,3,4,9,6,7,8,5] => [1,5,3,1]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [9,1,2,4,8,5,6,7,3] => [1,4,3,1]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [10,1,2,3,9,5,6,7,8,4] => [1,4,4,1]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [10,1,2,9,4,5,6,7,8,3] => [1,3,5,1]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,1,9,3,4,5,6,7,8,2] => [1,2,6,1]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [1,8,2,3,4,5,6,7,9] => [2,7]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,9,2,3,4,5,6,7,8,1] => [1,1,7,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,1,2,3,4,5,6,7,8,10] => [1,9]
[[.,.],[[.,[[.,[[.,.],.]],.]],[[.,.],.]]] => [1,5,6,4,7,3,9,10,8,2] => [1,10,7,6,5,4,3,2,9,8] => [2,1,1,1,1,1,2,1]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [1,6,7,5,8,4,9,3,10,2] => [1,10,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1,1]
[[.,[[.,.],.]],[[.,[[.,[[.,.],.]],.]],.]] => [2,3,1,7,8,6,9,5,10,4] => [3,2,1,10,9,8,7,6,5,4] => [1,1,2,1,1,1,1,1,1]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]] => [3,4,2,5,1,8,9,7,10,6] => [5,4,3,2,1,10,9,8,7,6] => [1,1,1,1,2,1,1,1,1]
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,.],.]] => [4,5,3,6,2,7,1,9,10,8] => [7,6,5,4,3,2,1,10,9,8] => [1,1,1,1,1,1,2,1,1]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.] => [2,4,6,8,9,7,5,3,1,10] => [9,2,1,4,3,6,5,8,7,10] => [1,1,2,2,2,2]
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.] => [2,6,7,5,8,4,9,3,1,10] => [9,2,1,8,7,6,5,4,3,10] => [1,1,2,1,1,1,1,2]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,8,7,6,5,4,3,2,1,10] => [1,1,1,1,1,1,1,1,2]
[[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]] => [1,7,8,6,9,5,10,4,11,3,12,2] => [1,12,11,10,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1,1,1,1]
[[.,[[.,.],.]],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] => [2,3,1,8,9,7,10,6,11,5,12,4] => [3,2,1,12,11,10,9,8,7,6,5,4] => [1,1,2,1,1,1,1,1,1,1,1]
[[.,[[.,[[.,.],.]],.]],[[.,[[.,[[.,.],.]],.]],.]] => [3,4,2,5,1,9,10,8,11,7,12,6] => [5,4,3,2,1,12,11,10,9,8,7,6] => [1,1,1,1,2,1,1,1,1,1,1]
[[.,[[.,[[.,[[.,.],.]],.]],.]],[[.,[[.,.],.]],.]] => [4,5,3,6,2,7,1,10,11,9,12,8] => [7,6,5,4,3,2,1,12,11,10,9,8] => [1,1,1,1,1,1,2,1,1,1,1]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],[[.,.],.]] => [5,6,4,7,3,8,2,9,1,11,12,10] => [9,8,7,6,5,4,3,2,1,12,11,10] => [1,1,1,1,1,1,1,1,2,1,1]
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.] => [6,7,5,8,4,9,3,10,2,11,1,12] => [11,10,9,8,7,6,5,4,3,2,1,12] => [1,1,1,1,1,1,1,1,1,1,2]
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]] => [5,7,6,4,8,3,9,2,10,1] => [10,9,8,7,5,4,6,3,2,1] => [1,1,1,1,1,2,1,1,1]
[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]] => [4,6,5,8,7,3,9,2,10,1] => [10,9,8,4,6,5,3,7,2,1] => [1,1,1,2,1,2,1,1]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [2,1,4,3,6,5,8,7,10,9] => [1,2,2,2,2,1]
[.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]] => [6,8,7,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,6,5,7,4,3,2,1] => [1,1,1,1,1,1,2,1,1,1,1]
[.,[[.,[[.,[[.,[[[.,.],[.,.]],[.,.]]],.]],.]],.]] => [5,7,6,9,8,4,10,3,11,2,12,1] => [12,11,10,9,5,7,6,4,8,3,2,1] => [1,1,1,1,2,1,2,1,1,1]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [2,1,4,3,6,5,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => [8,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => [9,1]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [2,1,3,4,5,6,7,9,8] => [1,7,1]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,3,2,4,5,6,7,8,1] => [1,1,6,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => [10,1]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [2,1,3,4,5,6,7,8,10,9] => [1,8,1]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [1,3,2,4,5,6,7,9,8] => [2,6,1]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [3,2,1,4,5,6,7,9,8] => [1,1,6,1]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,4,3,2,5,6,7,8,1] => [1,1,1,5,1]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,3,2,4,5,6,7,8,9,1] => [1,1,7,1]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,2,3,4,5,6,7,8,9,10,1] => [1,9,1]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,9,8,7] => [7,1,1]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,9,7,8,6] => [6,2,1]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [1,2,3,4,9,6,7,8,5] => [5,3,1]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [1,2,3,9,5,6,7,8,4] => [4,4,1]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [1,2,9,4,5,6,7,8,3] => [3,5,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,9,7,8] => [7,2]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,10,9,8] => [8,1,1]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,5,8,7,9,6] => [1,2,3,4,5,9,8,7,6] => [6,1,1,1]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,10,8,9,7] => [7,2,1]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]] => [1,2,3,4,7,6,8,9,5] => [1,2,3,4,9,7,6,8,5] => [5,1,2,1]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,10,7,8,9,6] => [6,3,1]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]] => [1,2,3,6,5,7,8,9,4] => [1,2,3,9,6,5,7,8,4] => [4,1,3,1]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,10,6,7,8,9,5] => [5,4,1]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]] => [1,2,5,4,6,7,8,9,3] => [1,2,9,5,4,6,7,8,3] => [3,1,4,1]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [1,2,3,10,5,6,7,8,9,4] => [4,5,1]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]] => [1,4,3,5,6,7,8,9,2] => [1,9,4,3,5,6,7,8,2] => [2,1,5,1]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [1,2,10,4,5,6,7,8,9,3] => [3,6,1]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [1,10,3,4,5,6,7,8,9,2] => [2,7,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [1,9,2,3,4,5,6,7,8] => [2,7]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,1,2,3,4,5,7,6,9] => [1,6,2]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [1,8,9,7,6,5,4,3,2] => [1,9,2,3,4,5,6,8,7] => [2,6,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [1,10,2,3,4,5,6,7,8,9] => [2,8]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,1,2,3,4,5,6,7,8,9,11] => [1,10]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [9,1,2,3,4,5,6,8,7,10] => [1,7,2]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [8,1,2,3,4,7,6,5,9] => [1,5,1,2]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [1,8,7,9,6,5,4,3,2] => [1,9,2,3,4,5,8,7,6] => [2,5,1,1]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [1,9,10,8,7,6,5,4,3,2] => [1,10,2,3,4,5,6,7,9,8] => [2,7,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [1,11,2,3,4,5,6,7,8,9,10] => [2,9]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1]
[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [5,4,7,6,8,3,9,2,10,1] => [10,9,8,5,4,7,6,3,2,1] => [1,1,1,1,2,1,1,1,1]
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,7,6,8,5,9,2,10,1] => [10,9,4,3,8,7,6,5,2,1] => [1,1,1,2,1,1,1,1,1]
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [5,4,6,3,8,7,9,2,10,1] => [10,9,6,5,4,3,8,7,2,1] => [1,1,1,1,1,2,1,1,1]
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [4,3,6,5,8,7,9,2,10,1] => [10,9,4,3,6,5,8,7,2,1] => [1,1,1,2,2,1,1,1]
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,7,6,8,5,9,4,10,1] => [10,3,2,9,8,7,6,5,4,1] => [1,1,2,1,1,1,1,1,1]
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,9,4,10,1] => [10,3,2,9,6,5,8,7,4,1] => [1,1,2,1,2,1,1,1]
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [4,3,5,2,8,7,9,6,10,1] => [10,5,4,3,2,9,8,7,6,1] => [1,1,1,1,2,1,1,1,1]
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,8,7,9,6,10,1] => [10,3,2,5,4,9,8,7,6,1] => [1,1,2,2,1,1,1,1]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,10,1] => [10,7,6,5,4,3,2,9,8,1] => [1,1,1,1,1,1,2,1,1]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,10,1] => [10,7,4,3,6,5,2,9,8,1] => [1,1,1,2,1,2,1,1]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,10,1] => [10,3,2,7,6,5,4,9,8,1] => [1,1,2,1,1,2,1,1]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,10,1] => [10,5,4,3,2,7,6,9,8,1] => [1,1,1,1,2,2,1,1]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,10,1] => [10,3,2,5,4,7,6,9,8,1] => [1,1,2,2,2,1,1]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,7,6,8,5,9,4,10,3] => [2,1,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1]
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,6,5,8,7,9,4,10,3] => [2,1,10,9,6,5,8,7,4,3] => [1,2,1,1,2,1,1,1]
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,5,4,8,7,9,6,10,3] => [2,1,10,5,4,9,8,7,6,3] => [1,2,1,2,1,1,1,1]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,10,3] => [2,1,10,7,6,5,4,9,8,3] => [1,2,1,1,1,2,1,1]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,10,3] => [2,1,10,5,4,7,6,9,8,3] => [1,2,1,2,2,1,1]
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,8,7,9,6,10,5] => [4,3,2,1,10,9,8,7,6,5] => [1,1,1,2,1,1,1,1,1]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,10,5] => [4,3,2,1,10,7,6,9,8,5] => [1,1,1,2,1,2,1,1]
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,8,7,9,6,10,5] => [2,1,4,3,10,9,8,7,6,5] => [1,2,2,1,1,1,1,1]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,10,5] => [2,1,4,3,10,7,6,9,8,5] => [1,2,2,1,2,1,1]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,9,8,10,7] => [6,5,4,3,2,1,10,9,8,7] => [1,1,1,1,1,2,1,1,1]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,9,8,10,7] => [6,3,2,5,4,1,10,9,8,7] => [1,1,2,1,2,1,1,1]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,9,8,10,7] => [2,1,6,5,4,3,10,9,8,7] => [1,2,1,1,2,1,1,1]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,4,1,6,5,9,8,10,7] => [4,3,2,1,6,5,10,9,8,7] => [1,1,1,2,2,1,1,1]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,9,8,10,7] => [2,1,4,3,6,5,10,9,8,7] => [1,2,2,2,1,1,1]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9] => [8,7,6,5,4,3,2,1,10,9] => [1,1,1,1,1,1,1,2,1]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9] => [8,7,4,3,6,5,2,1,10,9] => [1,1,1,2,1,1,2,1]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9] => [8,3,2,7,6,5,4,1,10,9] => [1,1,2,1,1,1,2,1]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9] => [8,5,4,3,2,7,6,1,10,9] => [1,1,1,1,2,1,2,1]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9] => [8,3,2,5,4,7,6,1,10,9] => [1,1,2,2,1,2,1]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9] => [2,1,8,7,6,5,4,3,10,9] => [1,2,1,1,1,1,2,1]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9] => [2,1,8,5,4,7,6,3,10,9] => [1,2,1,2,1,2,1]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9] => [4,3,2,1,8,7,6,5,10,9] => [1,1,1,2,1,1,2,1]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9] => [2,1,4,3,8,7,6,5,10,9] => [1,2,2,1,1,2,1]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9] => [6,5,4,3,2,1,8,7,10,9] => [1,1,1,1,1,2,2,1]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9] => [6,3,2,5,4,1,8,7,10,9] => [1,1,2,1,2,2,1]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,6,3,8,7,10,9] => [2,1,6,5,4,3,8,7,10,9] => [1,2,1,1,2,2,1]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9] => [4,3,2,1,6,5,8,7,10,9] => [1,1,1,2,2,2,1]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1]
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]] => [6,5,8,7,9,4,10,3,11,2,12,1] => [12,11,10,9,6,5,8,7,4,3,2,1] => [1,1,1,1,1,2,1,1,1,1,1]
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]] => [5,4,8,7,9,6,10,3,11,2,12,1] => [12,11,10,5,4,9,8,7,6,3,2,1] => [1,1,1,1,2,1,1,1,1,1,1]
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]] => [6,5,7,4,9,8,10,3,11,2,12,1] => [12,11,10,7,6,5,4,9,8,3,2,1] => [1,1,1,1,1,1,2,1,1,1,1]
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]] => [5,4,7,6,9,8,10,3,11,2,12,1] => [12,11,10,5,4,7,6,9,8,3,2,1] => [1,1,1,1,2,2,1,1,1,1]
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]] => [4,3,8,7,9,6,10,5,11,2,12,1] => [12,11,4,3,10,9,8,7,6,5,2,1] => [1,1,1,2,1,1,1,1,1,1,1]
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]] => [4,3,7,6,9,8,10,5,11,2,12,1] => [12,11,4,3,10,7,6,9,8,5,2,1] => [1,1,1,2,1,2,1,1,1,1]
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]] => [5,4,6,3,9,8,10,7,11,2,12,1] => [12,11,6,5,4,3,10,9,8,7,2,1] => [1,1,1,1,1,2,1,1,1,1,1]
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]] => [4,3,6,5,9,8,10,7,11,2,12,1] => [12,11,4,3,6,5,10,9,8,7,2,1] => [1,1,1,2,2,1,1,1,1,1]
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]] => [6,5,7,4,8,3,10,9,11,2,12,1] => [12,11,8,7,6,5,4,3,10,9,2,1] => [1,1,1,1,1,1,1,2,1,1,1]
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]] => [5,4,7,6,8,3,10,9,11,2,12,1] => [12,11,8,5,4,7,6,3,10,9,2,1] => [1,1,1,1,2,1,2,1,1,1]
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]] => [4,3,7,6,8,5,10,9,11,2,12,1] => [12,11,4,3,8,7,6,5,10,9,2,1] => [1,1,1,2,1,1,2,1,1,1]
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]] => [5,4,6,3,8,7,10,9,11,2,12,1] => [12,11,6,5,4,3,8,7,10,9,2,1] => [1,1,1,1,1,2,2,1,1,1]
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]] => [4,3,6,5,8,7,10,9,11,2,12,1] => [12,11,4,3,6,5,8,7,10,9,2,1] => [1,1,1,2,2,2,1,1,1]
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [3,2,8,7,9,6,10,5,11,4,12,1] => [12,3,2,11,10,9,8,7,6,5,4,1] => [1,1,2,1,1,1,1,1,1,1,1]
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [3,2,7,6,9,8,10,5,11,4,12,1] => [12,3,2,11,10,7,6,9,8,5,4,1] => [1,1,2,1,1,2,1,1,1,1]
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [3,2,6,5,9,8,10,7,11,4,12,1] => [12,3,2,11,6,5,10,9,8,7,4,1] => [1,1,2,1,2,1,1,1,1,1]
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [3,2,7,6,8,5,10,9,11,4,12,1] => [12,3,2,11,8,7,6,5,10,9,4,1] => [1,1,2,1,1,1,2,1,1,1]
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [3,2,6,5,8,7,10,9,11,4,12,1] => [12,3,2,11,6,5,8,7,10,9,4,1] => [1,1,2,1,2,2,1,1,1]
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]] => [4,3,5,2,9,8,10,7,11,6,12,1] => [12,5,4,3,2,11,10,9,8,7,6,1] => [1,1,1,1,2,1,1,1,1,1,1]
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]] => [4,3,5,2,8,7,10,9,11,6,12,1] => [12,5,4,3,2,11,8,7,10,9,6,1] => [1,1,1,1,2,1,2,1,1,1]
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [3,2,5,4,9,8,10,7,11,6,12,1] => [12,3,2,5,4,11,10,9,8,7,6,1] => [1,1,2,2,1,1,1,1,1,1]
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [3,2,5,4,8,7,10,9,11,6,12,1] => [12,3,2,5,4,11,8,7,10,9,6,1] => [1,1,2,2,1,2,1,1,1]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]] => [5,4,6,3,7,2,10,9,11,8,12,1] => [12,7,6,5,4,3,2,11,10,9,8,1] => [1,1,1,1,1,1,2,1,1,1,1]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]] => [4,3,6,5,7,2,10,9,11,8,12,1] => [12,7,4,3,6,5,2,11,10,9,8,1] => [1,1,1,2,1,2,1,1,1,1]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,10,9,11,8,12,1] => [12,3,2,7,6,5,4,11,10,9,8,1] => [1,1,2,1,1,2,1,1,1,1]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]] => [4,3,5,2,7,6,10,9,11,8,12,1] => [12,5,4,3,2,7,6,11,10,9,8,1] => [1,1,1,1,2,2,1,1,1,1]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [3,2,5,4,7,6,10,9,11,8,12,1] => [12,3,2,5,4,7,6,11,10,9,8,1] => [1,1,2,2,2,1,1,1,1]
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]] => [6,5,7,4,8,3,9,2,11,10,12,1] => [12,9,8,7,6,5,4,3,2,11,10,1] => [1,1,1,1,1,1,1,1,2,1,1]
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]] => [5,4,7,6,8,3,9,2,11,10,12,1] => [12,9,8,5,4,7,6,3,2,11,10,1] => [1,1,1,1,2,1,1,2,1,1]
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]] => [4,3,7,6,8,5,9,2,11,10,12,1] => [12,9,4,3,8,7,6,5,2,11,10,1] => [1,1,1,2,1,1,1,2,1,1]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]] => [5,4,6,3,8,7,9,2,11,10,12,1] => [12,9,6,5,4,3,8,7,2,11,10,1] => [1,1,1,1,1,2,1,2,1,1]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]] => [4,3,6,5,8,7,9,2,11,10,12,1] => [12,9,4,3,6,5,8,7,2,11,10,1] => [1,1,1,2,2,1,2,1,1]
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [3,2,7,6,8,5,9,4,11,10,12,1] => [12,3,2,9,8,7,6,5,4,11,10,1] => [1,1,2,1,1,1,1,2,1,1]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [3,2,6,5,8,7,9,4,11,10,12,1] => [12,3,2,9,6,5,8,7,4,11,10,1] => [1,1,2,1,2,1,2,1,1]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,8,7,9,6,11,10,12,1] => [12,5,4,3,2,9,8,7,6,11,10,1] => [1,1,1,1,2,1,1,2,1,1]
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [3,2,5,4,8,7,9,6,11,10,12,1] => [12,3,2,5,4,9,8,7,6,11,10,1] => [1,1,2,2,1,1,2,1,1]
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]] => [5,4,6,3,7,2,9,8,11,10,12,1] => [12,7,6,5,4,3,2,9,8,11,10,1] => [1,1,1,1,1,1,2,2,1,1]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]] => [4,3,6,5,7,2,9,8,11,10,12,1] => [12,7,4,3,6,5,2,9,8,11,10,1] => [1,1,1,2,1,2,2,1,1]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [3,2,6,5,7,4,9,8,11,10,12,1] => [12,3,2,7,6,5,4,9,8,11,10,1] => [1,1,2,1,1,2,2,1,1]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]] => [4,3,5,2,7,6,9,8,11,10,12,1] => [12,5,4,3,2,7,6,9,8,11,10,1] => [1,1,1,1,2,2,2,1,1]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,9,8,11,10,12,1] => [12,3,2,5,4,7,6,9,8,11,10,1] => [1,1,2,2,2,2,1,1]
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [2,1,8,7,9,6,10,5,11,4,12,3] => [2,1,12,11,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,1,1]
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]] => [2,1,7,6,9,8,10,5,11,4,12,3] => [2,1,12,11,10,7,6,9,8,5,4,3] => [1,2,1,1,1,2,1,1,1,1]
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]] => [2,1,6,5,9,8,10,7,11,4,12,3] => [2,1,12,11,6,5,10,9,8,7,4,3] => [1,2,1,1,2,1,1,1,1,1]
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]] => [2,1,7,6,8,5,10,9,11,4,12,3] => [2,1,12,11,8,7,6,5,10,9,4,3] => [1,2,1,1,1,1,2,1,1,1]
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]] => [2,1,6,5,8,7,10,9,11,4,12,3] => [2,1,12,11,6,5,8,7,10,9,4,3] => [1,2,1,1,2,2,1,1,1]
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]] => [2,1,5,4,9,8,10,7,11,6,12,3] => [2,1,12,5,4,11,10,9,8,7,6,3] => [1,2,1,2,1,1,1,1,1,1]
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]] => [2,1,5,4,8,7,10,9,11,6,12,3] => [2,1,12,5,4,11,8,7,10,9,6,3] => [1,2,1,2,1,2,1,1,1]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,10,9,11,8,12,3] => [2,1,12,7,6,5,4,11,10,9,8,3] => [1,2,1,1,1,2,1,1,1,1]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]] => [2,1,5,4,7,6,10,9,11,8,12,3] => [2,1,12,5,4,7,6,11,10,9,8,3] => [1,2,1,2,2,1,1,1,1]
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]] => [2,1,7,6,8,5,9,4,11,10,12,3] => [2,1,12,9,8,7,6,5,4,11,10,3] => [1,2,1,1,1,1,1,2,1,1]
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]] => [2,1,6,5,8,7,9,4,11,10,12,3] => [2,1,12,9,6,5,8,7,4,11,10,3] => [1,2,1,1,2,1,2,1,1]
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]] => [2,1,5,4,8,7,9,6,11,10,12,3] => [2,1,12,5,4,9,8,7,6,11,10,3] => [1,2,1,2,1,1,2,1,1]
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]] => [2,1,6,5,7,4,9,8,11,10,12,3] => [2,1,12,7,6,5,4,9,8,11,10,3] => [1,2,1,1,1,2,2,1,1]
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] => [2,1,5,4,7,6,9,8,11,10,12,3] => [2,1,12,5,4,7,6,9,8,11,10,3] => [1,2,1,2,2,2,1,1]
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [3,2,4,1,9,8,10,7,11,6,12,5] => [4,3,2,1,12,11,10,9,8,7,6,5] => [1,1,1,2,1,1,1,1,1,1,1]
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [3,2,4,1,8,7,10,9,11,6,12,5] => [4,3,2,1,12,11,8,7,10,9,6,5] => [1,1,1,2,1,1,2,1,1,1]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,4,1,7,6,10,9,11,8,12,5] => [4,3,2,1,12,7,6,11,10,9,8,5] => [1,1,1,2,1,2,1,1,1,1]
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [3,2,4,1,8,7,9,6,11,10,12,5] => [4,3,2,1,12,9,8,7,6,11,10,5] => [1,1,1,2,1,1,1,2,1,1]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,4,1,7,6,9,8,11,10,12,5] => [4,3,2,1,12,7,6,9,8,11,10,5] => [1,1,1,2,1,2,2,1,1]
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]] => [2,1,4,3,9,8,10,7,11,6,12,5] => [2,1,4,3,12,11,10,9,8,7,6,5] => [1,2,2,1,1,1,1,1,1,1]
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]] => [2,1,4,3,8,7,10,9,11,6,12,5] => [2,1,4,3,12,11,8,7,10,9,6,5] => [1,2,2,1,1,2,1,1,1]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]] => [2,1,4,3,7,6,10,9,11,8,12,5] => [2,1,4,3,12,7,6,11,10,9,8,5] => [1,2,2,1,2,1,1,1,1]
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]] => [2,1,4,3,8,7,9,6,11,10,12,5] => [2,1,4,3,12,9,8,7,6,11,10,5] => [1,2,2,1,1,1,2,1,1]
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]] => [2,1,4,3,7,6,9,8,11,10,12,5] => [2,1,4,3,12,7,6,9,8,11,10,5] => [1,2,2,1,2,2,1,1]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1,10,9,11,8,12,7] => [6,5,4,3,2,1,12,11,10,9,8,7] => [1,1,1,1,1,2,1,1,1,1,1]
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]] => [4,3,5,2,6,1,9,8,11,10,12,7] => [6,5,4,3,2,1,12,9,8,11,10,7] => [1,1,1,1,1,2,1,2,1,1]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [3,2,5,4,6,1,10,9,11,8,12,7] => [6,3,2,5,4,1,12,11,10,9,8,7] => [1,1,2,1,2,1,1,1,1,1]
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1,9,8,11,10,12,7] => [6,3,2,5,4,1,12,9,8,11,10,7] => [1,1,2,1,2,1,2,1,1]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]] => [2,1,5,4,6,3,10,9,11,8,12,7] => [2,1,6,5,4,3,12,11,10,9,8,7] => [1,2,1,1,2,1,1,1,1,1]
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,6,3,9,8,11,10,12,7] => [2,1,6,5,4,3,12,9,8,11,10,7] => [1,2,1,1,2,1,2,1,1]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [3,2,4,1,6,5,10,9,11,8,12,7] => [4,3,2,1,6,5,12,11,10,9,8,7] => [1,1,1,2,2,1,1,1,1,1]
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [3,2,4,1,6,5,9,8,11,10,12,7] => [4,3,2,1,6,5,12,9,8,11,10,7] => [1,1,1,2,2,1,2,1,1]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,4,3,6,5,10,9,11,8,12,7] => [2,1,4,3,6,5,12,11,10,9,8,7] => [1,2,2,2,1,1,1,1,1]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,4,3,6,5,9,8,11,10,12,7] => [2,1,4,3,6,5,12,9,8,11,10,7] => [1,2,2,2,1,2,1,1]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]] => [5,4,6,3,7,2,8,1,11,10,12,9] => [8,7,6,5,4,3,2,1,12,11,10,9] => [1,1,1,1,1,1,1,2,1,1,1]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]] => [4,3,6,5,7,2,8,1,11,10,12,9] => [8,7,4,3,6,5,2,1,12,11,10,9] => [1,1,1,2,1,1,2,1,1,1]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [3,2,6,5,7,4,8,1,11,10,12,9] => [8,3,2,7,6,5,4,1,12,11,10,9] => [1,1,2,1,1,1,2,1,1,1]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]] => [4,3,5,2,7,6,8,1,11,10,12,9] => [8,5,4,3,2,7,6,1,12,11,10,9] => [1,1,1,1,2,1,2,1,1,1]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [3,2,5,4,7,6,8,1,11,10,12,9] => [8,3,2,5,4,7,6,1,12,11,10,9] => [1,1,2,2,1,2,1,1,1]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]] => [2,1,6,5,7,4,8,3,11,10,12,9] => [2,1,8,7,6,5,4,3,12,11,10,9] => [1,2,1,1,1,1,2,1,1,1]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]] => [2,1,5,4,7,6,8,3,11,10,12,9] => [2,1,8,5,4,7,6,3,12,11,10,9] => [1,2,1,2,1,2,1,1,1]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5,11,10,12,9] => [4,3,2,1,8,7,6,5,12,11,10,9] => [1,1,1,2,1,1,2,1,1,1]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5,11,10,12,9] => [2,1,4,3,8,7,6,5,12,11,10,9] => [1,2,2,1,1,2,1,1,1]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]] => [4,3,5,2,6,1,8,7,11,10,12,9] => [6,5,4,3,2,1,8,7,12,11,10,9] => [1,1,1,1,1,2,2,1,1,1]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [3,2,5,4,6,1,8,7,11,10,12,9] => [6,3,2,5,4,1,8,7,12,11,10,9] => [1,1,2,1,2,2,1,1,1]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3,8,7,11,10,12,9] => [2,1,6,5,4,3,8,7,12,11,10,9] => [1,2,1,1,2,2,1,1,1]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [3,2,4,1,6,5,8,7,11,10,12,9] => [4,3,2,1,6,5,8,7,12,11,10,9] => [1,1,1,2,2,2,1,1,1]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,6,5,8,7,11,10,12,9] => [2,1,4,3,6,5,8,7,12,11,10,9] => [1,2,2,2,2,1,1,1]
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]] => [6,5,7,4,8,3,9,2,10,1,12,11] => [10,9,8,7,6,5,4,3,2,1,12,11] => [1,1,1,1,1,1,1,1,1,2,1]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]] => [5,4,7,6,8,3,9,2,10,1,12,11] => [10,9,8,5,4,7,6,3,2,1,12,11] => [1,1,1,1,2,1,1,1,2,1]
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]] => [4,3,7,6,8,5,9,2,10,1,12,11] => [10,9,4,3,8,7,6,5,2,1,12,11] => [1,1,1,2,1,1,1,1,2,1]
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]] => [5,4,6,3,8,7,9,2,10,1,12,11] => [10,9,6,5,4,3,8,7,2,1,12,11] => [1,1,1,1,1,2,1,1,2,1]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]] => [4,3,6,5,8,7,9,2,10,1,12,11] => [10,9,4,3,6,5,8,7,2,1,12,11] => [1,1,1,2,2,1,1,2,1]
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [3,2,7,6,8,5,9,4,10,1,12,11] => [10,3,2,9,8,7,6,5,4,1,12,11] => [1,1,2,1,1,1,1,1,2,1]
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [3,2,6,5,8,7,9,4,10,1,12,11] => [10,3,2,9,6,5,8,7,4,1,12,11] => [1,1,2,1,2,1,1,2,1]
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,8,7,9,6,10,1,12,11] => [10,5,4,3,2,9,8,7,6,1,12,11] => [1,1,1,1,2,1,1,1,2,1]
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [3,2,5,4,8,7,9,6,10,1,12,11] => [10,3,2,5,4,9,8,7,6,1,12,11] => [1,1,2,2,1,1,1,2,1]
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]] => [5,4,6,3,7,2,9,8,10,1,12,11] => [10,7,6,5,4,3,2,9,8,1,12,11] => [1,1,1,1,1,1,2,1,2,1]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]] => [4,3,6,5,7,2,9,8,10,1,12,11] => [10,7,4,3,6,5,2,9,8,1,12,11] => [1,1,1,2,1,2,1,2,1]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [3,2,6,5,7,4,9,8,10,1,12,11] => [10,3,2,7,6,5,4,9,8,1,12,11] => [1,1,2,1,1,2,1,2,1]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]] => [4,3,5,2,7,6,9,8,10,1,12,11] => [10,5,4,3,2,7,6,9,8,1,12,11] => [1,1,1,1,2,2,1,2,1]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,7,6,9,8,10,1,12,11] => [10,3,2,5,4,7,6,9,8,1,12,11] => [1,1,2,2,2,1,2,1]
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]] => [2,1,7,6,8,5,9,4,10,3,12,11] => [2,1,10,9,8,7,6,5,4,3,12,11] => [1,2,1,1,1,1,1,1,2,1]
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]] => [2,1,6,5,8,7,9,4,10,3,12,11] => [2,1,10,9,6,5,8,7,4,3,12,11] => [1,2,1,1,2,1,1,2,1]
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]] => [2,1,5,4,8,7,9,6,10,3,12,11] => [2,1,10,5,4,9,8,7,6,3,12,11] => [1,2,1,2,1,1,1,2,1]
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]] => [2,1,6,5,7,4,9,8,10,3,12,11] => [2,1,10,7,6,5,4,9,8,3,12,11] => [1,2,1,1,1,2,1,2,1]
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]] => [2,1,5,4,7,6,9,8,10,3,12,11] => [2,1,10,5,4,7,6,9,8,3,12,11] => [1,2,1,2,2,1,2,1]
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [3,2,4,1,8,7,9,6,10,5,12,11] => [4,3,2,1,10,9,8,7,6,5,12,11] => [1,1,1,2,1,1,1,1,2,1]
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,4,1,7,6,9,8,10,5,12,11] => [4,3,2,1,10,7,6,9,8,5,12,11] => [1,1,1,2,1,2,1,2,1]
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]] => [2,1,4,3,8,7,9,6,10,5,12,11] => [2,1,4,3,10,9,8,7,6,5,12,11] => [1,2,2,1,1,1,1,2,1]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]] => [2,1,4,3,7,6,9,8,10,5,12,11] => [2,1,4,3,10,7,6,9,8,5,12,11] => [1,2,2,1,2,1,2,1]
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]] => [4,3,5,2,6,1,9,8,10,7,12,11] => [6,5,4,3,2,1,10,9,8,7,12,11] => [1,1,1,1,1,2,1,1,2,1]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [3,2,5,4,6,1,9,8,10,7,12,11] => [6,3,2,5,4,1,10,9,8,7,12,11] => [1,1,2,1,2,1,1,2,1]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,9,8,10,7,12,11] => [2,1,6,5,4,3,10,9,8,7,12,11] => [1,2,1,1,2,1,1,2,1]
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5,9,8,10,7,12,11] => [4,3,2,1,6,5,10,9,8,7,12,11] => [1,1,1,2,2,1,1,2,1]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,4,3,6,5,9,8,10,7,12,11] => [2,1,4,3,6,5,10,9,8,7,12,11] => [1,2,2,2,1,1,2,1]
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]] => [5,4,6,3,7,2,8,1,10,9,12,11] => [8,7,6,5,4,3,2,1,10,9,12,11] => [1,1,1,1,1,1,1,2,2,1]
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]] => [4,3,6,5,7,2,8,1,10,9,12,11] => [8,7,4,3,6,5,2,1,10,9,12,11] => [1,1,1,2,1,1,2,2,1]
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [3,2,6,5,7,4,8,1,10,9,12,11] => [8,3,2,7,6,5,4,1,10,9,12,11] => [1,1,2,1,1,1,2,2,1]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]] => [4,3,5,2,7,6,8,1,10,9,12,11] => [8,5,4,3,2,7,6,1,10,9,12,11] => [1,1,1,1,2,1,2,2,1]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]] => [3,2,5,4,7,6,8,1,10,9,12,11] => [8,3,2,5,4,7,6,1,10,9,12,11] => [1,1,2,2,1,2,2,1]
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]] => [2,1,6,5,7,4,8,3,10,9,12,11] => [2,1,8,7,6,5,4,3,10,9,12,11] => [1,2,1,1,1,1,2,2,1]
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]] => [2,1,5,4,7,6,8,3,10,9,12,11] => [2,1,8,5,4,7,6,3,10,9,12,11] => [1,2,1,2,1,2,2,1]
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,7,6,8,5,10,9,12,11] => [4,3,2,1,8,7,6,5,10,9,12,11] => [1,1,1,2,1,1,2,2,1]
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]] => [2,1,4,3,7,6,8,5,10,9,12,11] => [2,1,4,3,8,7,6,5,10,9,12,11] => [1,2,2,1,1,2,2,1]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]] => [4,3,5,2,6,1,8,7,10,9,12,11] => [6,5,4,3,2,1,8,7,10,9,12,11] => [1,1,1,1,1,2,2,2,1]
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]] => [3,2,5,4,6,1,8,7,10,9,12,11] => [6,3,2,5,4,1,8,7,10,9,12,11] => [1,1,2,1,2,2,2,1]
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]] => [2,1,5,4,6,3,8,7,10,9,12,11] => [2,1,6,5,4,3,8,7,10,9,12,11] => [1,2,1,1,2,2,2,1]
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7,10,9,12,11] => [4,3,2,1,6,5,8,7,10,9,12,11] => [1,1,1,2,2,2,2,1]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [2,1,9,3,4,5,6,7,8] => [1,2,6]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [3,1,2,9,4,5,6,7,8] => [1,3,5]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [4,1,2,3,9,5,6,7,8] => [1,4,4]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [5,1,2,3,4,9,6,7,8] => [1,5,3]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [6,1,2,3,4,5,9,7,8] => [1,6,2]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [7,1,2,3,4,5,6,9,8] => [1,7,1]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [1,2,9,3,4,5,6,7,8] => [3,6]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [2,1,10,3,4,5,6,7,8,9] => [1,2,7]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [3,2,1,9,4,5,6,7,8] => [1,1,2,5]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [3,1,2,10,4,5,6,7,8,9] => [1,3,6]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [4,1,2,3,10,5,6,7,8,9] => [1,4,5]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [5,1,2,3,4,10,6,7,8,9] => [1,5,4]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [6,1,2,3,4,5,10,7,8,9] => [1,6,3]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [7,1,2,3,4,5,6,10,8,9] => [1,7,2]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [8,1,2,3,4,5,6,7,10,9] => [1,8,1]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,1,2,3,4,5,6,8,9] => [1,8]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,1,2,3,4,5,7,8,9] => [1,8]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,1,2,3,4,6,7,8,9] => [1,8]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,1,2,3,5,6,7,8,9] => [1,8]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => [1,8]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => [1,8]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,1,2,3,4,5,6,7,9,10] => [1,9]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,1,2,3,4,5,6,8,9,10] => [1,9]
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.] => [1,7,6,5,4,3,2,8,9] => [1,7,2,3,4,5,6,8,9] => [2,7]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,1,2,3,4,5,7,8,9,10] => [1,9]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,1,2,3,4,6,7,8,9,10] => [1,9]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,1,2,3,5,6,7,8,9,10] => [1,9]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [1,4,2,3,5,6,7,8,9] => [2,7]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => [1,9]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [1,3,2,4,5,6,7,8,9] => [2,7]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => [1,9]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] => [3,9,8,7,6,5,4,2,1] => [9,1,3,2,4,5,6,7,8] => [1,2,6]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [9,2,1,3,4,5,6,7,8] => [1,1,7]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] => [6,10,9,8,7,5,4,3,2,1] => [10,1,2,3,4,6,5,7,8,9] => [1,5,4]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7,10,9] => [4,2,1,3,6,5,8,7,10,9] => [1,1,3,2,2,1]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [9,2,3,4,5,6,7,1,8] => [1,6,2]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => [1,10]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [2,1,3,4,5,6,8,7,9] => [1,6,2]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [2,1,3,4,5,6,9,8,7] => [1,6,1,1]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]] => [2,3,4,5,6,8,9,7,1] => [9,2,3,4,5,6,1,8,7] => [1,5,2,1]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [10,2,3,4,5,6,7,8,1,9] => [1,7,2]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [2,1,4,3,5,6,7,8,9] => [1,2,6]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [6,1,2,3,4,5,8,7,9] => [1,6,2]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [9,8,3,4,5,6,7,2,1] => [1,1,5,1,1]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,2,3,4,5,6,7,1,9] => [1,6,2]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => [1,1,7]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,2,3,4,5,6,1,8,9] => [1,5,3]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => [1,1,8]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,2,3,4,5,6,7,8,1,10] => [1,7,2]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [1,2,4,3,5,6,7,8,9] => [3,6]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [1,2,3,5,4,6,7,8,9] => [4,5]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [1,2,3,4,6,5,7,8,9] => [5,4]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [1,2,3,4,5,7,6,8,9] => [6,3]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [1,2,3,4,5,6,8,7,9] => [7,2]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [1,3,2,4,5,6,7,8,9,10] => [2,8]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [1,2,4,3,5,6,7,8,9,10] => [3,7]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [1,2,3,5,4,6,7,8,9,10] => [4,6]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [1,2,3,4,6,5,7,8,9,10] => [5,5]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [1,2,3,4,5,7,6,8,9,10] => [6,4]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [1,2,3,4,5,6,8,7,9,10] => [7,3]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [1,2,3,4,5,6,7,9,8,10] => [8,2]
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]] => [4,3,2,5,6,7,8,9,1] => [9,4,2,3,5,6,7,8,1] => [1,1,6,1]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [1,7,2,3,4,5,6,9,8] => [2,6,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [6,1,2,3,4,5,9,8,7] => [1,6,1,1]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => [11]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [1,2,10,3,4,5,6,7,8,9] => [3,7]
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [1,3,2,9,8,7,6,5,4] => [1,3,2,9,4,5,6,7,8] => [2,2,5]
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [2,1,8,3,4,5,6,7,9] => [1,2,6]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [1,9,2,3,4,5,6,7,8,10] => [2,8]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [1,3,2,5,4,6,7,8,9] => [2,2,5]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [2,1,9,4,5,6,7,8,3] => [1,2,5,1]
[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] => [2,1,8,9,7,6,5,4,3] => [2,1,9,3,4,5,6,8,7] => [1,2,5,1]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [1,2,3,4,5,6,7,10,8,9] => [8,2]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [1,2,3,4,5,9,6,7,8] => [6,3]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [1,2,3,4,9,5,6,7,8] => [5,4]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [1,2,3,9,4,5,6,7,8] => [4,5]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [1,2,3,4,5,7,6,9,8] => [6,2,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [1,2,3,4,5,6,10,7,8,9] => [7,3]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [1,2,3,4,5,10,6,7,8,9] => [6,4]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [1,2,3,4,10,5,6,7,8,9] => [5,5]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [1,2,3,10,4,5,6,7,8,9] => [4,6]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,6,8,7,10,9] => [1,2,3,4,5,6,8,7,10,9] => [7,2,1]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [11,1,2,3,4,5,6,7,8,10,9] => [1,9,1]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [4,1,3,2,5,6,7,8,9] => [1,2,6]
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9,10] => [4,1,3,2,5,6,7,8,9,10] => [1,2,7]
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => [1,1,1,1,5]
[[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10,11] => [1,3,2,4,5,6,7,8,9,10,11] => [2,9]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [8,7,2,3,4,5,6,1,9] => [1,1,5,2]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.] => [2,3,1,5,4,6,7,8,9] => [3,2,1,5,4,6,7,8,9] => [1,1,2,5]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [9,2,3,1,4,5,6,7,8] => [1,2,6]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [8,2,1,3,4,5,6,7,9] => [1,1,7]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [7,2,3,4,5,6,1,9,8] => [1,5,2,1]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [1,4,3,2,5,6,7,8,9] => [2,1,6]
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10] => [9,8,2,3,4,5,6,7,1,10] => [1,1,6,2]
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]] => [1,4,5,6,7,8,3,9,2] => [1,9,8,4,5,6,7,3,2] => [2,1,4,1,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [1,2,3,4,5,6,7,8,10,9,11] => [9,2]
[[[[[[[.,.],[.,.]],.],.],.],[.,.]],.] => [1,3,2,4,5,6,8,7,9] => [1,3,2,4,5,6,8,7,9] => [2,5,2]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,8,10,9] => [1,3,2,4,5,6,7,8,10,9] => [2,7,1]
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
searching the database
Sorry, this map was not found in the database.